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Finding the Fourth Proportional to 8,174.54, 12,258.14 and 2,329.76

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Solution

The fourth proportional to 8,174.54, 12,258.14 and 2,329.76 is: 3,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.54 : 12,258.14 = 2,329.76 : x
  2. Step 2: Convert to fraction form
    8,174.54/12,258.14 = 2,329.76/x
  3. Step 3: Cross multiply
    8,174.54x = 12,258.14 × 2,329.76
  4. Step 4: Simplify right side
    8,174.54x = 28,558,451.31
  5. Step 5: Solve for x
    x = 28,558,451.31/8,174.54
  6. Step 6: Final answer
    x = 3,493.59

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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.