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Finding the Fourth Proportional to 9,892.02, 13,652.22 and 5,915.32

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Solution

The fourth proportional to 9,892.02, 13,652.22 and 5,915.32 is: 8,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.02 : 13,652.22 = 5,915.32 : x
  2. Step 2: Convert to fraction form
    9,892.02/13,652.22 = 5,915.32/x
  3. Step 3: Cross multiply
    9,892.02x = 13,652.22 × 5,915.32
  4. Step 4: Simplify right side
    9,892.02x = 80,757,250.01
  5. Step 5: Solve for x
    x = 80,757,250.01/9,892.02
  6. Step 6: Final answer
    x = 8,163.88

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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.