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Finding the Fourth Proportional to 6,710.53, 9,260.82 and 3,726.65

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Solution

The fourth proportional to 6,710.53, 9,260.82 and 3,726.65 is: 5,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.53 : 9,260.82 = 3,726.65 : x
  2. Step 2: Convert to fraction form
    6,710.53/9,260.82 = 3,726.65/x
  3. Step 3: Cross multiply
    6,710.53x = 9,260.82 × 3,726.65
  4. Step 4: Simplify right side
    6,710.53x = 34,511,834.85
  5. Step 5: Solve for x
    x = 34,511,834.85/6,710.53
  6. Step 6: Final answer
    x = 5,142.94

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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.