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Finding the Fourth Proportional to 10,866.75, 14,996.12 and 6,151.05

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Solution

The fourth proportional to 10,866.75, 14,996.12 and 6,151.05 is: 8,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.75 : 14,996.12 = 6,151.05 : x
  2. Step 2: Convert to fraction form
    10,866.75/14,996.12 = 6,151.05/x
  3. Step 3: Cross multiply
    10,866.75x = 14,996.12 × 6,151.05
  4. Step 4: Simplify right side
    10,866.75x = 92,241,853.17
  5. Step 5: Solve for x
    x = 92,241,853.17/10,866.75
  6. Step 6: Final answer
    x = 8,488.45

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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.