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Finding the Fourth Proportional to 6,809.60, 10,209.60 and 3,113.60

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Solution

The fourth proportional to 6,809.60, 10,209.60 and 3,113.60 is: 4,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.60 : 10,209.60 = 3,113.60 : x
  2. Step 2: Convert to fraction form
    6,809.60/10,209.60 = 3,113.60/x
  3. Step 3: Cross multiply
    6,809.60x = 10,209.60 × 3,113.60
  4. Step 4: Simplify right side
    6,809.60x = 31,788,610.56
  5. Step 5: Solve for x
    x = 31,788,610.56/6,809.60
  6. Step 6: Final answer
    x = 4,668.21

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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.