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Finding the Fourth Proportional to 6,948.50, 9,589.86 and 4,115.65

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Solution

The fourth proportional to 6,948.50, 9,589.86 and 4,115.65 is: 5,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.50 : 9,589.86 = 4,115.65 : x
  2. Step 2: Convert to fraction form
    6,948.50/9,589.86 = 4,115.65/x
  3. Step 3: Cross multiply
    6,948.50x = 9,589.86 × 4,115.65
  4. Step 4: Simplify right side
    6,948.50x = 39,468,486.73
  5. Step 5: Solve for x
    x = 39,468,486.73/6,948.50
  6. Step 6: Final answer
    x = 5,680.15

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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.