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Finding the Fourth Proportional to 6,495.27, 9,691.90 and 6,098.51

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Solution

The fourth proportional to 6,495.27, 9,691.90 and 6,098.51 is: 9,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.27 : 9,691.90 = 6,098.51 : x
  2. Step 2: Convert to fraction form
    6,495.27/9,691.90 = 6,098.51/x
  3. Step 3: Cross multiply
    6,495.27x = 9,691.90 × 6,098.51
  4. Step 4: Simplify right side
    6,495.27x = 59,106,149.07
  5. Step 5: Solve for x
    x = 59,106,149.07/6,495.27
  6. Step 6: Final answer
    x = 9,099.88

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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.