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Finding the Fourth Proportional to 10,998.62, 15,178.08 and 5,962.82

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Solution

The fourth proportional to 10,998.62, 15,178.08 and 5,962.82 is: 8,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.62 : 15,178.08 = 5,962.82 : x
  2. Step 2: Convert to fraction form
    10,998.62/15,178.08 = 5,962.82/x
  3. Step 3: Cross multiply
    10,998.62x = 15,178.08 × 5,962.82
  4. Step 4: Simplify right side
    10,998.62x = 90,504,105.46
  5. Step 5: Solve for x
    x = 90,504,105.46/10,998.62
  6. Step 6: Final answer
    x = 8,228.68

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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.