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Finding the Fourth Proportional to 8,196.84, 12,295.26 and 3,001.52

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Solution

The fourth proportional to 8,196.84, 12,295.26 and 3,001.52 is: 4,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.84 : 12,295.26 = 3,001.52 : x
  2. Step 2: Convert to fraction form
    8,196.84/12,295.26 = 3,001.52/x
  3. Step 3: Cross multiply
    8,196.84x = 12,295.26 × 3,001.52
  4. Step 4: Simplify right side
    8,196.84x = 36,904,468.80
  5. Step 5: Solve for x
    x = 36,904,468.80/8,196.84
  6. Step 6: Final answer
    x = 4,502.28

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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.