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Finding the Fourth Proportional to 14,834.16, 20,468.72 and 8,545.28

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Solution

The fourth proportional to 14,834.16, 20,468.72 and 8,545.28 is: 11,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.16 : 20,468.72 = 8,545.28 : x
  2. Step 2: Convert to fraction form
    14,834.16/20,468.72 = 8,545.28/x
  3. Step 3: Cross multiply
    14,834.16x = 20,468.72 × 8,545.28
  4. Step 4: Simplify right side
    14,834.16x = 174,910,943.64
  5. Step 5: Solve for x
    x = 174,910,943.64/14,834.16
  6. Step 6: Final answer
    x = 11,791.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.