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Finding the Fourth Proportional to 7,681.35, 10,600.38 and 4,696.56

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Solution

The fourth proportional to 7,681.35, 10,600.38 and 4,696.56 is: 6,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.35 : 10,600.38 = 4,696.56 : x
  2. Step 2: Convert to fraction form
    7,681.35/10,600.38 = 4,696.56/x
  3. Step 3: Cross multiply
    7,681.35x = 10,600.38 × 4,696.56
  4. Step 4: Simplify right side
    7,681.35x = 49,785,320.69
  5. Step 5: Solve for x
    x = 49,785,320.69/7,681.35
  6. Step 6: Final answer
    x = 6,481.32

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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.