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Finding the Fourth Proportional to 10,884.96, 15,022.17 and 6,168.96

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Solution

The fourth proportional to 10,884.96, 15,022.17 and 6,168.96 is: 8,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.96 : 15,022.17 = 6,168.96 : x
  2. Step 2: Convert to fraction form
    10,884.96/15,022.17 = 6,168.96/x
  3. Step 3: Cross multiply
    10,884.96x = 15,022.17 × 6,168.96
  4. Step 4: Simplify right side
    10,884.96x = 92,671,165.84
  5. Step 5: Solve for x
    x = 92,671,165.84/10,884.96
  6. Step 6: Final answer
    x = 8,513.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.