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Finding the Fourth Proportional to 8,951.96, 12,354.24 and 5,175.80

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Solution

The fourth proportional to 8,951.96, 12,354.24 and 5,175.80 is: 7,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.96 : 12,354.24 = 5,175.80 : x
  2. Step 2: Convert to fraction form
    8,951.96/12,354.24 = 5,175.80/x
  3. Step 3: Cross multiply
    8,951.96x = 12,354.24 × 5,175.80
  4. Step 4: Simplify right side
    8,951.96x = 63,943,075.39
  5. Step 5: Solve for x
    x = 63,943,075.39/8,951.96
  6. Step 6: Final answer
    x = 7,142.91

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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.