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Finding the Fourth Proportional to 6,358.53, 9,531.98 and 2,460.00

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Solution

The fourth proportional to 6,358.53, 9,531.98 and 2,460.00 is: 3,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.53 : 9,531.98 = 2,460.00 : x
  2. Step 2: Convert to fraction form
    6,358.53/9,531.98 = 2,460.00/x
  3. Step 3: Cross multiply
    6,358.53x = 9,531.98 × 2,460.00
  4. Step 4: Simplify right side
    6,358.53x = 23,448,629.29
  5. Step 5: Solve for x
    x = 23,448,629.29/6,358.53
  6. Step 6: Final answer
    x = 3,687.75

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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.