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Finding the Fourth Proportional to 15,703.47, 23,556.24 and 6,938.46

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Solution

The fourth proportional to 15,703.47, 23,556.24 and 6,938.46 is: 10,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.47 : 23,556.24 = 6,938.46 : x
  2. Step 2: Convert to fraction form
    15,703.47/23,556.24 = 6,938.46/x
  3. Step 3: Cross multiply
    15,703.47x = 23,556.24 × 6,938.46
  4. Step 4: Simplify right side
    15,703.47x = 163,444,028.99
  5. Step 5: Solve for x
    x = 163,444,028.99/15,703.47
  6. Step 6: Final answer
    x = 10,408.15

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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.