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Finding the Fourth Proportional to 6,545.85, 9,805.05 and 5,152.62

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Solution

The fourth proportional to 6,545.85, 9,805.05 and 5,152.62 is: 7,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.85 : 9,805.05 = 5,152.62 : x
  2. Step 2: Convert to fraction form
    6,545.85/9,805.05 = 5,152.62/x
  3. Step 3: Cross multiply
    6,545.85x = 9,805.05 × 5,152.62
  4. Step 4: Simplify right side
    6,545.85x = 50,521,696.73
  5. Step 5: Solve for x
    x = 50,521,696.73/6,545.85
  6. Step 6: Final answer
    x = 7,718.13

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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.