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Finding the Fourth Proportional to 6,617.82, 9,876.47 and 6,349.92

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Solution

The fourth proportional to 6,617.82, 9,876.47 and 6,349.92 is: 9,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.82 : 9,876.47 = 6,349.92 : x
  2. Step 2: Convert to fraction form
    6,617.82/9,876.47 = 6,349.92/x
  3. Step 3: Cross multiply
    6,617.82x = 9,876.47 × 6,349.92
  4. Step 4: Simplify right side
    6,617.82x = 62,714,794.38
  5. Step 5: Solve for x
    x = 62,714,794.38/6,617.82
  6. Step 6: Final answer
    x = 9,476.65

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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.