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Finding the Fourth Proportional to 12,151.38, 16,767.90 and 6,847.50

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Solution

The fourth proportional to 12,151.38, 16,767.90 and 6,847.50 is: 9,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.38 : 16,767.90 = 6,847.50 : x
  2. Step 2: Convert to fraction form
    12,151.38/16,767.90 = 6,847.50/x
  3. Step 3: Cross multiply
    12,151.38x = 16,767.90 × 6,847.50
  4. Step 4: Simplify right side
    12,151.38x = 114,818,195.25
  5. Step 5: Solve for x
    x = 114,818,195.25/12,151.38
  6. Step 6: Final answer
    x = 9,448.98

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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.