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Finding the Fourth Proportional to 8,098.72, 12,148.16 and 2,255.76

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Solution

The fourth proportional to 8,098.72, 12,148.16 and 2,255.76 is: 3,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.72 : 12,148.16 = 2,255.76 : x
  2. Step 2: Convert to fraction form
    8,098.72/12,148.16 = 2,255.76/x
  3. Step 3: Cross multiply
    8,098.72x = 12,148.16 × 2,255.76
  4. Step 4: Simplify right side
    8,098.72x = 27,403,333.40
  5. Step 5: Solve for x
    x = 27,403,333.40/8,098.72
  6. Step 6: Final answer
    x = 3,383.66

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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.