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Finding the Fourth Proportional to 6,484.57, 9,665.17 and 6,115.48

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Solution

The fourth proportional to 6,484.57, 9,665.17 and 6,115.48 is: 9,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.57 : 9,665.17 = 6,115.48 : x
  2. Step 2: Convert to fraction form
    6,484.57/9,665.17 = 6,115.48/x
  3. Step 3: Cross multiply
    6,484.57x = 9,665.17 × 6,115.48
  4. Step 4: Simplify right side
    6,484.57x = 59,107,153.83
  5. Step 5: Solve for x
    x = 59,107,153.83/6,484.57
  6. Step 6: Final answer
    x = 9,115.05

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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.