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Finding the Fourth Proportional to 8,179.58, 12,254.49 and 7,875.83

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Solution

The fourth proportional to 8,179.58, 12,254.49 and 7,875.83 is: 11,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.58 : 12,254.49 = 7,875.83 : x
  2. Step 2: Convert to fraction form
    8,179.58/12,254.49 = 7,875.83/x
  3. Step 3: Cross multiply
    8,179.58x = 12,254.49 × 7,875.83
  4. Step 4: Simplify right side
    8,179.58x = 96,514,310.61
  5. Step 5: Solve for x
    x = 96,514,310.61/8,179.58
  6. Step 6: Final answer
    x = 11,799.42

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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.