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Finding the Fourth Proportional to 10,008.62, 13,817.52 and 6,656

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Solution

The fourth proportional to 10,008.62, 13,817.52 and 6,656 is: 9,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.62 : 13,817.52 = 6,656 : x
  2. Step 2: Convert to fraction form
    10,008.62/13,817.52 = 6,656/x
  3. Step 3: Cross multiply
    10,008.62x = 13,817.52 × 6,656
  4. Step 4: Simplify right side
    10,008.62x = 91,969,413.12
  5. Step 5: Solve for x
    x = 91,969,413.12/10,008.62
  6. Step 6: Final answer
    x = 9,189.02

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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.