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Finding the Fourth Proportional to 5,714.20, 8,262.55 and 5,714.20

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Solution

The fourth proportional to 5,714.20, 8,262.55 and 5,714.20 is: 8,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.20 : 8,262.55 = 5,714.20 : x
  2. Step 2: Convert to fraction form
    5,714.20/8,262.55 = 5,714.20/x
  3. Step 3: Cross multiply
    5,714.20x = 8,262.55 × 5,714.20
  4. Step 4: Simplify right side
    5,714.20x = 47,213,863.21
  5. Step 5: Solve for x
    x = 47,213,863.21/5,714.20
  6. Step 6: Final answer
    x = 8,262.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.