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Finding the Fourth Proportional to 10,298.38, 14,214.32 and 6,766.38

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Solution

The fourth proportional to 10,298.38, 14,214.32 and 6,766.38 is: 9,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.38 : 14,214.32 = 6,766.38 : x
  2. Step 2: Convert to fraction form
    10,298.38/14,214.32 = 6,766.38/x
  3. Step 3: Cross multiply
    10,298.38x = 14,214.32 × 6,766.38
  4. Step 4: Simplify right side
    10,298.38x = 96,179,490.56
  5. Step 5: Solve for x
    x = 96,179,490.56/10,298.38
  6. Step 6: Final answer
    x = 9,339.28

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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.