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Finding the Fourth Proportional to 6,478.31, 9,730.46 and 6,265.53

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Solution

The fourth proportional to 6,478.31, 9,730.46 and 6,265.53 is: 9,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.31 : 9,730.46 = 6,265.53 : x
  2. Step 2: Convert to fraction form
    6,478.31/9,730.46 = 6,265.53/x
  3. Step 3: Cross multiply
    6,478.31x = 9,730.46 × 6,265.53
  4. Step 4: Simplify right side
    6,478.31x = 60,966,457.72
  5. Step 5: Solve for x
    x = 60,966,457.72/6,478.31
  6. Step 6: Final answer
    x = 9,410.87

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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.