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Finding the Fourth Proportional to 5,714.88, 8,563.14 and 3,763.50

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Solution

The fourth proportional to 5,714.88, 8,563.14 and 3,763.50 is: 5,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.88 : 8,563.14 = 3,763.50 : x
  2. Step 2: Convert to fraction form
    5,714.88/8,563.14 = 3,763.50/x
  3. Step 3: Cross multiply
    5,714.88x = 8,563.14 × 3,763.50
  4. Step 4: Simplify right side
    5,714.88x = 32,227,377.39
  5. Step 5: Solve for x
    x = 32,227,377.39/5,714.88
  6. Step 6: Final answer
    x = 5,639.20

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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.