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Finding the Fourth Proportional to 14,545.91, 21,822.53 and 5,781.53

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Solution

The fourth proportional to 14,545.91, 21,822.53 and 5,781.53 is: 8,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.91 : 21,822.53 = 5,781.53 : x
  2. Step 2: Convert to fraction form
    14,545.91/21,822.53 = 5,781.53/x
  3. Step 3: Cross multiply
    14,545.91x = 21,822.53 × 5,781.53
  4. Step 4: Simplify right side
    14,545.91x = 126,167,473.85
  5. Step 5: Solve for x
    x = 126,167,473.85/14,545.91
  6. Step 6: Final answer
    x = 8,673.75

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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.