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Finding the Fourth Proportional to 8,098.88, 12,148.31 and 2,255.64

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Solution

The fourth proportional to 8,098.88, 12,148.31 and 2,255.64 is: 3,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.88 : 12,148.31 = 2,255.64 : x
  2. Step 2: Convert to fraction form
    8,098.88/12,148.31 = 2,255.64/x
  3. Step 3: Cross multiply
    8,098.88x = 12,148.31 × 2,255.64
  4. Step 4: Simplify right side
    8,098.88x = 27,402,174.05
  5. Step 5: Solve for x
    x = 27,402,174.05/8,098.88
  6. Step 6: Final answer
    x = 3,383.45

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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.