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Finding the Fourth Proportional to 8,714.89, 12,024.15 and 5,731.71

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Solution

The fourth proportional to 8,714.89, 12,024.15 and 5,731.71 is: 7,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.89 : 12,024.15 = 5,731.71 : x
  2. Step 2: Convert to fraction form
    8,714.89/12,024.15 = 5,731.71/x
  3. Step 3: Cross multiply
    8,714.89x = 12,024.15 × 5,731.71
  4. Step 4: Simplify right side
    8,714.89x = 68,918,941.85
  5. Step 5: Solve for x
    x = 68,918,941.85/8,714.89
  6. Step 6: Final answer
    x = 7,908.18

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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.