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Finding the Fourth Proportional to 10,084, 13,915.92 and 5,892.28

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Solution

The fourth proportional to 10,084, 13,915.92 and 5,892.28 is: 8,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084 : 13,915.92 = 5,892.28 : x
  2. Step 2: Convert to fraction form
    10,084/13,915.92 = 5,892.28/x
  3. Step 3: Cross multiply
    10,084x = 13,915.92 × 5,892.28
  4. Step 4: Simplify right side
    10,084x = 81,996,497.10
  5. Step 5: Solve for x
    x = 81,996,497.10/10,084
  6. Step 6: Final answer
    x = 8,131.35

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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.