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Finding the Fourth Proportional to 7,700.80, 10,624.24 and 5,049.68

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Solution

The fourth proportional to 7,700.80, 10,624.24 and 5,049.68 is: 6,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.80 : 10,624.24 = 5,049.68 : x
  2. Step 2: Convert to fraction form
    7,700.80/10,624.24 = 5,049.68/x
  3. Step 3: Cross multiply
    7,700.80x = 10,624.24 × 5,049.68
  4. Step 4: Simplify right side
    7,700.80x = 53,649,012.24
  5. Step 5: Solve for x
    x = 53,649,012.24/7,700.80
  6. Step 6: Final answer
    x = 6,966.68

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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.