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Finding the Fourth Proportional to 10,702, 14,768.76 and 6,976

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Solution

The fourth proportional to 10,702, 14,768.76 and 6,976 is: 9,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702 : 14,768.76 = 6,976 : x
  2. Step 2: Convert to fraction form
    10,702/14,768.76 = 6,976/x
  3. Step 3: Cross multiply
    10,702x = 14,768.76 × 6,976
  4. Step 4: Simplify right side
    10,702x = 103,026,869.76
  5. Step 5: Solve for x
    x = 103,026,869.76/10,702
  6. Step 6: Final answer
    x = 9,626.88

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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.