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Finding the Fourth Proportional to 6,437.76, 9,644.16 and 3,656.04

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Solution

The fourth proportional to 6,437.76, 9,644.16 and 3,656.04 is: 5,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.76 : 9,644.16 = 3,656.04 : x
  2. Step 2: Convert to fraction form
    6,437.76/9,644.16 = 3,656.04/x
  3. Step 3: Cross multiply
    6,437.76x = 9,644.16 × 3,656.04
  4. Step 4: Simplify right side
    6,437.76x = 35,259,434.73
  5. Step 5: Solve for x
    x = 35,259,434.73/6,437.76
  6. Step 6: Final answer
    x = 5,476.97

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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.