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Finding the Fourth Proportional to 9,124.74, 13,687.10 and 2,199.24

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Solution

The fourth proportional to 9,124.74, 13,687.10 and 2,199.24 is: 3,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.74 : 13,687.10 = 2,199.24 : x
  2. Step 2: Convert to fraction form
    9,124.74/13,687.10 = 2,199.24/x
  3. Step 3: Cross multiply
    9,124.74x = 13,687.10 × 2,199.24
  4. Step 4: Simplify right side
    9,124.74x = 30,101,217.80
  5. Step 5: Solve for x
    x = 30,101,217.80/9,124.74
  6. Step 6: Final answer
    x = 3,298.86

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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.