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Finding the Fourth Proportional to 7,175.77, 10,770.95 and 5,098.12

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Solution

The fourth proportional to 7,175.77, 10,770.95 and 5,098.12 is: 7,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.77 : 10,770.95 = 5,098.12 : x
  2. Step 2: Convert to fraction form
    7,175.77/10,770.95 = 5,098.12/x
  3. Step 3: Cross multiply
    7,175.77x = 10,770.95 × 5,098.12
  4. Step 4: Simplify right side
    7,175.77x = 54,911,516.27
  5. Step 5: Solve for x
    x = 54,911,516.27/7,175.77
  6. Step 6: Final answer
    x = 7,652.36

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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.