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Finding the Fourth Proportional to 9,891.77, 14,766.96 and 9,545.65

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Solution

The fourth proportional to 9,891.77, 14,766.96 and 9,545.65 is: 14,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.77 : 14,766.96 = 9,545.65 : x
  2. Step 2: Convert to fraction form
    9,891.77/14,766.96 = 9,545.65/x
  3. Step 3: Cross multiply
    9,891.77x = 14,766.96 × 9,545.65
  4. Step 4: Simplify right side
    9,891.77x = 140,960,176.91
  5. Step 5: Solve for x
    x = 140,960,176.91/9,891.77
  6. Step 6: Final answer
    x = 14,250.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.