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Finding the Fourth Proportional to 5,175.46, 7,748.22 and 4,641.30

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Solution

The fourth proportional to 5,175.46, 7,748.22 and 4,641.30 is: 6,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.46 : 7,748.22 = 4,641.30 : x
  2. Step 2: Convert to fraction form
    5,175.46/7,748.22 = 4,641.30/x
  3. Step 3: Cross multiply
    5,175.46x = 7,748.22 × 4,641.30
  4. Step 4: Simplify right side
    5,175.46x = 35,961,813.49
  5. Step 5: Solve for x
    x = 35,961,813.49/5,175.46
  6. Step 6: Final answer
    x = 6,948.53

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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.