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Finding the Fourth Proportional to 7,049.76, 10,576.80 and 4,449.12

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Solution

The fourth proportional to 7,049.76, 10,576.80 and 4,449.12 is: 6,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.76 : 10,576.80 = 4,449.12 : x
  2. Step 2: Convert to fraction form
    7,049.76/10,576.80 = 4,449.12/x
  3. Step 3: Cross multiply
    7,049.76x = 10,576.80 × 4,449.12
  4. Step 4: Simplify right side
    7,049.76x = 47,057,452.42
  5. Step 5: Solve for x
    x = 47,057,452.42/7,049.76
  6. Step 6: Final answer
    x = 6,675.04

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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.