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Finding the Fourth Proportional to 6,374.76, 9,562.56 and 1,694.70

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Solution

The fourth proportional to 6,374.76, 9,562.56 and 1,694.70 is: 2,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.76 : 9,562.56 = 1,694.70 : x
  2. Step 2: Convert to fraction form
    6,374.76/9,562.56 = 1,694.70/x
  3. Step 3: Cross multiply
    6,374.76x = 9,562.56 × 1,694.70
  4. Step 4: Simplify right side
    6,374.76x = 16,205,670.43
  5. Step 5: Solve for x
    x = 16,205,670.43/6,374.76
  6. Step 6: Final answer
    x = 2,542.16

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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.