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Finding the Fourth Proportional to 10,867.24, 15,003.68 and 7,469.80

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Solution

The fourth proportional to 10,867.24, 15,003.68 and 7,469.80 is: 10,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.24 : 15,003.68 = 7,469.80 : x
  2. Step 2: Convert to fraction form
    10,867.24/15,003.68 = 7,469.80/x
  3. Step 3: Cross multiply
    10,867.24x = 15,003.68 × 7,469.80
  4. Step 4: Simplify right side
    10,867.24x = 112,074,488.86
  5. Step 5: Solve for x
    x = 112,074,488.86/10,867.24
  6. Step 6: Final answer
    x = 10,313.06

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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.