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Finding the Fourth Proportional to 22,776.83, 34,158.55 and 7,982.99

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Solution

The fourth proportional to 22,776.83, 34,158.55 and 7,982.99 is: 11,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.83 : 34,158.55 = 7,982.99 : x
  2. Step 2: Convert to fraction form
    22,776.83/34,158.55 = 7,982.99/x
  3. Step 3: Cross multiply
    22,776.83x = 34,158.55 × 7,982.99
  4. Step 4: Simplify right side
    22,776.83x = 272,687,192.27
  5. Step 5: Solve for x
    x = 272,687,192.27/22,776.83
  6. Step 6: Final answer
    x = 11,972.13

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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.