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Finding the Fourth Proportional to 6,458.52, 9,688.56 and 2,074.44

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Solution

The fourth proportional to 6,458.52, 9,688.56 and 2,074.44 is: 3,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.52 : 9,688.56 = 2,074.44 : x
  2. Step 2: Convert to fraction form
    6,458.52/9,688.56 = 2,074.44/x
  3. Step 3: Cross multiply
    6,458.52x = 9,688.56 × 2,074.44
  4. Step 4: Simplify right side
    6,458.52x = 20,098,336.41
  5. Step 5: Solve for x
    x = 20,098,336.41/6,458.52
  6. Step 6: Final answer
    x = 3,111.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.