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Finding the Fourth Proportional to 6,458.64, 9,687.24 and 1,841.52

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Solution

The fourth proportional to 6,458.64, 9,687.24 and 1,841.52 is: 2,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.64 : 9,687.24 = 1,841.52 : x
  2. Step 2: Convert to fraction form
    6,458.64/9,687.24 = 1,841.52/x
  3. Step 3: Cross multiply
    6,458.64x = 9,687.24 × 1,841.52
  4. Step 4: Simplify right side
    6,458.64x = 17,839,246.20
  5. Step 5: Solve for x
    x = 17,839,246.20/6,458.64
  6. Step 6: Final answer
    x = 2,762.07

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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.