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Finding the Fourth Proportional to 6,374.89, 9,562.18 and 1,694.91

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Solution

The fourth proportional to 6,374.89, 9,562.18 and 1,694.91 is: 2,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.89 : 9,562.18 = 1,694.91 : x
  2. Step 2: Convert to fraction form
    6,374.89/9,562.18 = 1,694.91/x
  3. Step 3: Cross multiply
    6,374.89x = 9,562.18 × 1,694.91
  4. Step 4: Simplify right side
    6,374.89x = 16,207,034.50
  5. Step 5: Solve for x
    x = 16,207,034.50/6,374.89
  6. Step 6: Final answer
    x = 2,542.32

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1.5x scale

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.