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Finding the Fourth Proportional to 6,877.52, 10,308.60 and 6,323.96

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Solution

The fourth proportional to 6,877.52, 10,308.60 and 6,323.96 is: 9,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.52 : 10,308.60 = 6,323.96 : x
  2. Step 2: Convert to fraction form
    6,877.52/10,308.60 = 6,323.96/x
  3. Step 3: Cross multiply
    6,877.52x = 10,308.60 × 6,323.96
  4. Step 4: Simplify right side
    6,877.52x = 65,191,174.06
  5. Step 5: Solve for x
    x = 65,191,174.06/6,877.52
  6. Step 6: Final answer
    x = 9,478.88

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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.