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Finding the Fourth Proportional to 6,464.73, 9,697.13 and 2,569.13

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Solution

The fourth proportional to 6,464.73, 9,697.13 and 2,569.13 is: 3,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.73 : 9,697.13 = 2,569.13 : x
  2. Step 2: Convert to fraction form
    6,464.73/9,697.13 = 2,569.13/x
  3. Step 3: Cross multiply
    6,464.73x = 9,697.13 × 2,569.13
  4. Step 4: Simplify right side
    6,464.73x = 24,913,126.27
  5. Step 5: Solve for x
    x = 24,913,126.27/6,464.73
  6. Step 6: Final answer
    x = 3,853.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.