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Finding the Fourth Proportional to 10,649.82, 14,706 and 6,677.70

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Solution

The fourth proportional to 10,649.82, 14,706 and 6,677.70 is: 9,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.82 : 14,706 = 6,677.70 : x
  2. Step 2: Convert to fraction form
    10,649.82/14,706 = 6,677.70/x
  3. Step 3: Cross multiply
    10,649.82x = 14,706 × 6,677.70
  4. Step 4: Simplify right side
    10,649.82x = 98,202,256.20
  5. Step 5: Solve for x
    x = 98,202,256.20/10,649.82
  6. Step 6: Final answer
    x = 9,221.02

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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.