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Finding the Fourth Proportional to 6,475.26, 9,711.60 and 2,964.31

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Solution

The fourth proportional to 6,475.26, 9,711.60 and 2,964.31 is: 4,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.26 : 9,711.60 = 2,964.31 : x
  2. Step 2: Convert to fraction form
    6,475.26/9,711.60 = 2,964.31/x
  3. Step 3: Cross multiply
    6,475.26x = 9,711.60 × 2,964.31
  4. Step 4: Simplify right side
    6,475.26x = 28,788,193.00
  5. Step 5: Solve for x
    x = 28,788,193.00/6,475.26
  6. Step 6: Final answer
    x = 4,445.87

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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.