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Finding the Fourth Proportional to 6,681.90, 10,068 and 5,537.37

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Solution

The fourth proportional to 6,681.90, 10,068 and 5,537.37 is: 8,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.90 : 10,068 = 5,537.37 : x
  2. Step 2: Convert to fraction form
    6,681.90/10,068 = 5,537.37/x
  3. Step 3: Cross multiply
    6,681.90x = 10,068 × 5,537.37
  4. Step 4: Simplify right side
    6,681.90x = 55,750,241.16
  5. Step 5: Solve for x
    x = 55,750,241.16/6,681.90
  6. Step 6: Final answer
    x = 8,343.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.