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Finding the Fourth Proportional to 7,175.10, 10,752.12 and 5,099.10

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Solution

The fourth proportional to 7,175.10, 10,752.12 and 5,099.10 is: 7,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.10 : 10,752.12 = 5,099.10 : x
  2. Step 2: Convert to fraction form
    7,175.10/10,752.12 = 5,099.10/x
  3. Step 3: Cross multiply
    7,175.10x = 10,752.12 × 5,099.10
  4. Step 4: Simplify right side
    7,175.10x = 54,826,135.09
  5. Step 5: Solve for x
    x = 54,826,135.09/7,175.10
  6. Step 6: Final answer
    x = 7,641.17

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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.