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Finding the Fourth Proportional to 8,714.69, 12,013.97 and 6,195.86

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Solution

The fourth proportional to 8,714.69, 12,013.97 and 6,195.86 is: 8,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.69 : 12,013.97 = 6,195.86 : x
  2. Step 2: Convert to fraction form
    8,714.69/12,013.97 = 6,195.86/x
  3. Step 3: Cross multiply
    8,714.69x = 12,013.97 × 6,195.86
  4. Step 4: Simplify right side
    8,714.69x = 74,436,865.02
  5. Step 5: Solve for x
    x = 74,436,865.02/8,714.69
  6. Step 6: Final answer
    x = 8,541.54

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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.