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Finding the Fourth Proportional to 12,652.80, 17,443.74 and 9,470.76

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Solution

The fourth proportional to 12,652.80, 17,443.74 and 9,470.76 is: 13,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.80 : 17,443.74 = 9,470.76 : x
  2. Step 2: Convert to fraction form
    12,652.80/17,443.74 = 9,470.76/x
  3. Step 3: Cross multiply
    12,652.80x = 17,443.74 × 9,470.76
  4. Step 4: Simplify right side
    12,652.80x = 165,205,475.04
  5. Step 5: Solve for x
    x = 165,205,475.04/12,652.80
  6. Step 6: Final answer
    x = 13,056.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.