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Finding the Fourth Proportional to 8,135.32, 12,213.06 and 8,097.88

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Solution

The fourth proportional to 8,135.32, 12,213.06 and 8,097.88 is: 12,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.32 : 12,213.06 = 8,097.88 : x
  2. Step 2: Convert to fraction form
    8,135.32/12,213.06 = 8,097.88/x
  3. Step 3: Cross multiply
    8,135.32x = 12,213.06 × 8,097.88
  4. Step 4: Simplify right side
    8,135.32x = 98,899,894.31
  5. Step 5: Solve for x
    x = 98,899,894.31/8,135.32
  6. Step 6: Final answer
    x = 12,156.85

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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.