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Finding the Fourth Proportional to 8,196.16, 12,284.48 and 6,738.24

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Solution

The fourth proportional to 8,196.16, 12,284.48 and 6,738.24 is: 10,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.16 : 12,284.48 = 6,738.24 : x
  2. Step 2: Convert to fraction form
    8,196.16/12,284.48 = 6,738.24/x
  3. Step 3: Cross multiply
    8,196.16x = 12,284.48 × 6,738.24
  4. Step 4: Simplify right side
    8,196.16x = 82,775,774.52
  5. Step 5: Solve for x
    x = 82,775,774.52/8,196.16
  6. Step 6: Final answer
    x = 10,099.34

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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.