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Finding the Fourth Proportional to 10,320.80, 15,472.20 and 7,023.20

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Solution

The fourth proportional to 10,320.80, 15,472.20 and 7,023.20 is: 10,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.80 : 15,472.20 = 7,023.20 : x
  2. Step 2: Convert to fraction form
    10,320.80/15,472.20 = 7,023.20/x
  3. Step 3: Cross multiply
    10,320.80x = 15,472.20 × 7,023.20
  4. Step 4: Simplify right side
    10,320.80x = 108,664,355.04
  5. Step 5: Solve for x
    x = 108,664,355.04/10,320.80
  6. Step 6: Final answer
    x = 10,528.68

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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.