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Finding the Fourth Proportional to 19,700.13, 29,550.20 and 5,849.13

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Solution

The fourth proportional to 19,700.13, 29,550.20 and 5,849.13 is: 8,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.13 : 29,550.20 = 5,849.13 : x
  2. Step 2: Convert to fraction form
    19,700.13/29,550.20 = 5,849.13/x
  3. Step 3: Cross multiply
    19,700.13x = 29,550.20 × 5,849.13
  4. Step 4: Simplify right side
    19,700.13x = 172,842,961.33
  5. Step 5: Solve for x
    x = 172,842,961.33/19,700.13
  6. Step 6: Final answer
    x = 8,773.70

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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.