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Finding the Fourth Proportional to 10,738.15, 14,818.79 and 6,488.62

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Solution

The fourth proportional to 10,738.15, 14,818.79 and 6,488.62 is: 8,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.15 : 14,818.79 = 6,488.62 : x
  2. Step 2: Convert to fraction form
    10,738.15/14,818.79 = 6,488.62/x
  3. Step 3: Cross multiply
    10,738.15x = 14,818.79 × 6,488.62
  4. Step 4: Simplify right side
    10,738.15x = 96,153,497.17
  5. Step 5: Solve for x
    x = 96,153,497.17/10,738.15
  6. Step 6: Final answer
    x = 8,954.38

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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.