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Finding the Fourth Proportional to 10,892.46, 15,017.46 and 7,057.26

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Solution

The fourth proportional to 10,892.46, 15,017.46 and 7,057.26 is: 9,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.46 : 15,017.46 = 7,057.26 : x
  2. Step 2: Convert to fraction form
    10,892.46/15,017.46 = 7,057.26/x
  3. Step 3: Cross multiply
    10,892.46x = 15,017.46 × 7,057.26
  4. Step 4: Simplify right side
    10,892.46x = 105,982,119.76
  5. Step 5: Solve for x
    x = 105,982,119.76/10,892.46
  6. Step 6: Final answer
    x = 9,729.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.