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Finding the Fourth Proportional to 6,342.69, 8,754.30 and 3,691.65

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Solution

The fourth proportional to 6,342.69, 8,754.30 and 3,691.65 is: 5,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.69 : 8,754.30 = 3,691.65 : x
  2. Step 2: Convert to fraction form
    6,342.69/8,754.30 = 3,691.65/x
  3. Step 3: Cross multiply
    6,342.69x = 8,754.30 × 3,691.65
  4. Step 4: Simplify right side
    6,342.69x = 32,317,811.60
  5. Step 5: Solve for x
    x = 32,317,811.60/6,342.69
  6. Step 6: Final answer
    x = 5,095.28

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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.