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Finding the Fourth Proportional to 19,934.78, 29,902.14 and 6,083.78

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Solution

The fourth proportional to 19,934.78, 29,902.14 and 6,083.78 is: 9,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,934.78 : 29,902.14 = 6,083.78 : x
  2. Step 2: Convert to fraction form
    19,934.78/29,902.14 = 6,083.78/x
  3. Step 3: Cross multiply
    19,934.78x = 29,902.14 × 6,083.78
  4. Step 4: Simplify right side
    19,934.78x = 181,918,041.29
  5. Step 5: Solve for x
    x = 181,918,041.29/19,934.78
  6. Step 6: Final answer
    x = 9,125.66

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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.