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Finding the Fourth Proportional to 6,732.62, 9,290.40 and 4,965.20

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Solution

The fourth proportional to 6,732.62, 9,290.40 and 4,965.20 is: 6,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.62 : 9,290.40 = 4,965.20 : x
  2. Step 2: Convert to fraction form
    6,732.62/9,290.40 = 4,965.20/x
  3. Step 3: Cross multiply
    6,732.62x = 9,290.40 × 4,965.20
  4. Step 4: Simplify right side
    6,732.62x = 46,128,694.08
  5. Step 5: Solve for x
    x = 46,128,694.08/6,732.62
  6. Step 6: Final answer
    x = 6,851.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.