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Finding the Fourth Proportional to 6,493.64, 9,751.40 and 6,442.61

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Solution

The fourth proportional to 6,493.64, 9,751.40 and 6,442.61 is: 9,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.64 : 9,751.40 = 6,442.61 : x
  2. Step 2: Convert to fraction form
    6,493.64/9,751.40 = 6,442.61/x
  3. Step 3: Cross multiply
    6,493.64x = 9,751.40 × 6,442.61
  4. Step 4: Simplify right side
    6,493.64x = 62,824,386.18
  5. Step 5: Solve for x
    x = 62,824,386.18/6,493.64
  6. Step 6: Final answer
    x = 9,674.76

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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.