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Finding the Fourth Proportional to 19,892.97, 29,837.23 and 5,102.24

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Solution

The fourth proportional to 19,892.97, 29,837.23 and 5,102.24 is: 7,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.97 : 29,837.23 = 5,102.24 : x
  2. Step 2: Convert to fraction form
    19,892.97/29,837.23 = 5,102.24/x
  3. Step 3: Cross multiply
    19,892.97x = 29,837.23 × 5,102.24
  4. Step 4: Simplify right side
    19,892.97x = 152,236,708.40
  5. Step 5: Solve for x
    x = 152,236,708.40/19,892.97
  6. Step 6: Final answer
    x = 7,652.79

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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.