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Finding the Fourth Proportional to 6,359.52, 9,539.52 and 1,742.52

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Solution

The fourth proportional to 6,359.52, 9,539.52 and 1,742.52 is: 2,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.52 : 9,539.52 = 1,742.52 : x
  2. Step 2: Convert to fraction form
    6,359.52/9,539.52 = 1,742.52/x
  3. Step 3: Cross multiply
    6,359.52x = 9,539.52 × 1,742.52
  4. Step 4: Simplify right side
    6,359.52x = 16,622,804.39
  5. Step 5: Solve for x
    x = 16,622,804.39/6,359.52
  6. Step 6: Final answer
    x = 2,613.85

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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.