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Finding the Fourth Proportional to 8,176.80, 12,250.80 and 7,024.80

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Solution

The fourth proportional to 8,176.80, 12,250.80 and 7,024.80 is: 10,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.80 : 12,250.80 = 7,024.80 : x
  2. Step 2: Convert to fraction form
    8,176.80/12,250.80 = 7,024.80/x
  3. Step 3: Cross multiply
    8,176.80x = 12,250.80 × 7,024.80
  4. Step 4: Simplify right side
    8,176.80x = 86,059,419.84
  5. Step 5: Solve for x
    x = 86,059,419.84/8,176.80
  6. Step 6: Final answer
    x = 10,524.83

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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.