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Finding the Fourth Proportional to 8,159.86, 12,178.07 and 7,372.54

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Solution

The fourth proportional to 8,159.86, 12,178.07 and 7,372.54 is: 11,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.86 : 12,178.07 = 7,372.54 : x
  2. Step 2: Convert to fraction form
    8,159.86/12,178.07 = 7,372.54/x
  3. Step 3: Cross multiply
    8,159.86x = 12,178.07 × 7,372.54
  4. Step 4: Simplify right side
    8,159.86x = 89,783,308.20
  5. Step 5: Solve for x
    x = 89,783,308.20/8,159.86
  6. Step 6: Final answer
    x = 11,003.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.