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Finding the Fourth Proportional to 10,306.80, 15,451.20 and 7,009.20

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Solution

The fourth proportional to 10,306.80, 15,451.20 and 7,009.20 is: 10,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.80 : 15,451.20 = 7,009.20 : x
  2. Step 2: Convert to fraction form
    10,306.80/15,451.20 = 7,009.20/x
  3. Step 3: Cross multiply
    10,306.80x = 15,451.20 × 7,009.20
  4. Step 4: Simplify right side
    10,306.80x = 108,300,551.04
  5. Step 5: Solve for x
    x = 108,300,551.04/10,306.80
  6. Step 6: Final answer
    x = 10,507.68

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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.