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Finding the Fourth Proportional to 6,374.46, 9,517.41 and 5,980.80

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Solution

The fourth proportional to 6,374.46, 9,517.41 and 5,980.80 is: 8,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.46 : 9,517.41 = 5,980.80 : x
  2. Step 2: Convert to fraction form
    6,374.46/9,517.41 = 5,980.80/x
  3. Step 3: Cross multiply
    6,374.46x = 9,517.41 × 5,980.80
  4. Step 4: Simplify right side
    6,374.46x = 56,921,725.73
  5. Step 5: Solve for x
    x = 56,921,725.73/6,374.46
  6. Step 6: Final answer
    x = 8,929.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.