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Finding the Fourth Proportional to 6,696.33, 10,034.58 and 6,321.89

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Solution

The fourth proportional to 6,696.33, 10,034.58 and 6,321.89 is: 9,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.33 : 10,034.58 = 6,321.89 : x
  2. Step 2: Convert to fraction form
    6,696.33/10,034.58 = 6,321.89/x
  3. Step 3: Cross multiply
    6,696.33x = 10,034.58 × 6,321.89
  4. Step 4: Simplify right side
    6,696.33x = 63,437,510.96
  5. Step 5: Solve for x
    x = 63,437,510.96/6,696.33
  6. Step 6: Final answer
    x = 9,473.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.