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Finding the Fourth Proportional to 10,696.13, 14,767.14 and 6,976.61

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Solution

The fourth proportional to 10,696.13, 14,767.14 and 6,976.61 is: 9,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.13 : 14,767.14 = 6,976.61 : x
  2. Step 2: Convert to fraction form
    10,696.13/14,767.14 = 6,976.61/x
  3. Step 3: Cross multiply
    10,696.13x = 14,767.14 × 6,976.61
  4. Step 4: Simplify right side
    10,696.13x = 103,024,502.76
  5. Step 5: Solve for x
    x = 103,024,502.76/10,696.13
  6. Step 6: Final answer
    x = 9,631.95

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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.