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Finding the Fourth Proportional to 8,714.47, 12,026.10 and 4,735.66

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Solution

The fourth proportional to 8,714.47, 12,026.10 and 4,735.66 is: 6,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.47 : 12,026.10 = 4,735.66 : x
  2. Step 2: Convert to fraction form
    8,714.47/12,026.10 = 4,735.66/x
  3. Step 3: Cross multiply
    8,714.47x = 12,026.10 × 4,735.66
  4. Step 4: Simplify right side
    8,714.47x = 56,951,520.73
  5. Step 5: Solve for x
    x = 56,951,520.73/8,714.47
  6. Step 6: Final answer
    x = 6,535.28

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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.