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Finding the Fourth Proportional to 8,714.68, 12,022.26 and 5,175.88

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Solution

The fourth proportional to 8,714.68, 12,022.26 and 5,175.88 is: 7,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.68 : 12,022.26 = 5,175.88 : x
  2. Step 2: Convert to fraction form
    8,714.68/12,022.26 = 5,175.88/x
  3. Step 3: Cross multiply
    8,714.68x = 12,022.26 × 5,175.88
  4. Step 4: Simplify right side
    8,714.68x = 62,225,775.09
  5. Step 5: Solve for x
    x = 62,225,775.09/8,714.68
  6. Step 6: Final answer
    x = 7,140.34

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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.