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Finding the Fourth Proportional to 10,866, 14,995.68 and 6,150.72

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Solution

The fourth proportional to 10,866, 14,995.68 and 6,150.72 is: 8,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866 : 14,995.68 = 6,150.72 : x
  2. Step 2: Convert to fraction form
    10,866/14,995.68 = 6,150.72/x
  3. Step 3: Cross multiply
    10,866x = 14,995.68 × 6,150.72
  4. Step 4: Simplify right side
    10,866x = 92,234,228.89
  5. Step 5: Solve for x
    x = 92,234,228.89/10,866
  6. Step 6: Final answer
    x = 8,488.33

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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.