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Finding the Fourth Proportional to 10,377, 14,320.26 and 6,651

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Solution

The fourth proportional to 10,377, 14,320.26 and 6,651 is: 9,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377 : 14,320.26 = 6,651 : x
  2. Step 2: Convert to fraction form
    10,377/14,320.26 = 6,651/x
  3. Step 3: Cross multiply
    10,377x = 14,320.26 × 6,651
  4. Step 4: Simplify right side
    10,377x = 95,244,049.26
  5. Step 5: Solve for x
    x = 95,244,049.26/10,377
  6. Step 6: Final answer
    x = 9,178.38

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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.