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Finding the Fourth Proportional to 11,309.80, 16,972.80 and 6,374.20

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Solution

The fourth proportional to 11,309.80, 16,972.80 and 6,374.20 is: 9,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.80 : 16,972.80 = 6,374.20 : x
  2. Step 2: Convert to fraction form
    11,309.80/16,972.80 = 6,374.20/x
  3. Step 3: Cross multiply
    11,309.80x = 16,972.80 × 6,374.20
  4. Step 4: Simplify right side
    11,309.80x = 108,188,021.76
  5. Step 5: Solve for x
    x = 108,188,021.76/11,309.80
  6. Step 6: Final answer
    x = 9,565.87

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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.