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Finding the Fourth Proportional to 6,656.80, 9,988.32 and 3,194.08

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Solution

The fourth proportional to 6,656.80, 9,988.32 and 3,194.08 is: 4,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.80 : 9,988.32 = 3,194.08 : x
  2. Step 2: Convert to fraction form
    6,656.80/9,988.32 = 3,194.08/x
  3. Step 3: Cross multiply
    6,656.80x = 9,988.32 × 3,194.08
  4. Step 4: Simplify right side
    6,656.80x = 31,903,493.15
  5. Step 5: Solve for x
    x = 31,903,493.15/6,656.80
  6. Step 6: Final answer
    x = 4,792.62

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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.