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Finding the Fourth Proportional to 6,616.80, 9,992.52 and 6,616.80

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Solution

The fourth proportional to 6,616.80, 9,992.52 and 6,616.80 is: 9,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.80 : 9,992.52 = 6,616.80 : x
  2. Step 2: Convert to fraction form
    6,616.80/9,992.52 = 6,616.80/x
  3. Step 3: Cross multiply
    6,616.80x = 9,992.52 × 6,616.80
  4. Step 4: Simplify right side
    6,616.80x = 66,118,506.34
  5. Step 5: Solve for x
    x = 66,118,506.34/6,616.80
  6. Step 6: Final answer
    x = 9,992.52

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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.