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Finding the Fourth Proportional to 7,084.40, 10,679.66 and 6,608.66

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Solution

The fourth proportional to 7,084.40, 10,679.66 and 6,608.66 is: 9,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.40 : 10,679.66 = 6,608.66 : x
  2. Step 2: Convert to fraction form
    7,084.40/10,679.66 = 6,608.66/x
  3. Step 3: Cross multiply
    7,084.40x = 10,679.66 × 6,608.66
  4. Step 4: Simplify right side
    7,084.40x = 70,578,241.86
  5. Step 5: Solve for x
    x = 70,578,241.86/7,084.40
  6. Step 6: Final answer
    x = 9,962.49

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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.