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Finding the Fourth Proportional to 9,407.40, 14,083.40 and 6,953.16

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Solution

The fourth proportional to 9,407.40, 14,083.40 and 6,953.16 is: 10,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.40 : 14,083.40 = 6,953.16 : x
  2. Step 2: Convert to fraction form
    9,407.40/14,083.40 = 6,953.16/x
  3. Step 3: Cross multiply
    9,407.40x = 14,083.40 × 6,953.16
  4. Step 4: Simplify right side
    9,407.40x = 97,924,133.54
  5. Step 5: Solve for x
    x = 97,924,133.54/9,407.40
  6. Step 6: Final answer
    x = 10,409.27

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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.