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Finding the Fourth Proportional to 6,476.96, 9,708.24 and 3,548.72

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Solution

The fourth proportional to 6,476.96, 9,708.24 and 3,548.72 is: 5,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.96 : 9,708.24 = 3,548.72 : x
  2. Step 2: Convert to fraction form
    6,476.96/9,708.24 = 3,548.72/x
  3. Step 3: Cross multiply
    6,476.96x = 9,708.24 × 3,548.72
  4. Step 4: Simplify right side
    6,476.96x = 34,451,825.45
  5. Step 5: Solve for x
    x = 34,451,825.45/6,476.96
  6. Step 6: Final answer
    x = 5,319.14

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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.