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Finding the Fourth Proportional to 10,648.18, 14,694.15 and 6,671.44

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Solution

The fourth proportional to 10,648.18, 14,694.15 and 6,671.44 is: 9,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.18 : 14,694.15 = 6,671.44 : x
  2. Step 2: Convert to fraction form
    10,648.18/14,694.15 = 6,671.44/x
  3. Step 3: Cross multiply
    10,648.18x = 14,694.15 × 6,671.44
  4. Step 4: Simplify right side
    10,648.18x = 98,031,140.08
  5. Step 5: Solve for x
    x = 98,031,140.08/10,648.18
  6. Step 6: Final answer
    x = 9,206.38

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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.