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Finding the Fourth Proportional to 19,753.19, 29,634.95 and 5,902.19

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Solution

The fourth proportional to 19,753.19, 29,634.95 and 5,902.19 is: 8,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.19 : 29,634.95 = 5,902.19 : x
  2. Step 2: Convert to fraction form
    19,753.19/29,634.95 = 5,902.19/x
  3. Step 3: Cross multiply
    19,753.19x = 29,634.95 × 5,902.19
  4. Step 4: Simplify right side
    19,753.19x = 174,911,105.54
  5. Step 5: Solve for x
    x = 174,911,105.54/19,753.19
  6. Step 6: Final answer
    x = 8,854.83

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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.