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Finding the Fourth Proportional to 15,703.16, 23,555.46 and 6,938.12

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Solution

The fourth proportional to 15,703.16, 23,555.46 and 6,938.12 is: 10,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.16 : 23,555.46 = 6,938.12 : x
  2. Step 2: Convert to fraction form
    15,703.16/23,555.46 = 6,938.12/x
  3. Step 3: Cross multiply
    15,703.16x = 23,555.46 × 6,938.12
  4. Step 4: Simplify right side
    15,703.16x = 163,430,608.14
  5. Step 5: Solve for x
    x = 163,430,608.14/15,703.16
  6. Step 6: Final answer
    x = 10,407.50

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Half scale
Find fourth proportional to 31,406.32, 47,110.92 and 13,876.24
Double scale
Find fourth proportional to 15,704.16, 23,556.96 and 6,939.12
Similar ratio
Find fourth proportional to 23,554.74, 35,333.19 and 10,407.18
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.