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Finding the Fourth Proportional to 6,609.60, 10,108.80 and 6,609.60

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Solution

The fourth proportional to 6,609.60, 10,108.80 and 6,609.60 is: 10,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.60 : 10,108.80 = 6,609.60 : x
  2. Step 2: Convert to fraction form
    6,609.60/10,108.80 = 6,609.60/x
  3. Step 3: Cross multiply
    6,609.60x = 10,108.80 × 6,609.60
  4. Step 4: Simplify right side
    6,609.60x = 66,815,124.48
  5. Step 5: Solve for x
    x = 66,815,124.48/6,609.60
  6. Step 6: Final answer
    x = 10,108.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.