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Finding the Fourth Proportional to 7,175.50, 9,902.19 and 4,031.69

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Solution

The fourth proportional to 7,175.50, 9,902.19 and 4,031.69 is: 5,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.50 : 9,902.19 = 4,031.69 : x
  2. Step 2: Convert to fraction form
    7,175.50/9,902.19 = 4,031.69/x
  3. Step 3: Cross multiply
    7,175.50x = 9,902.19 × 4,031.69
  4. Step 4: Simplify right side
    7,175.50x = 39,922,560.40
  5. Step 5: Solve for x
    x = 39,922,560.40/7,175.50
  6. Step 6: Final answer
    x = 5,563.73

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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.