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Finding the Fourth Proportional to 6,605.20, 9,230 and 6,605.20

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Solution

The fourth proportional to 6,605.20, 9,230 and 6,605.20 is: 9,230

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.20 : 9,230 = 6,605.20 : x
  2. Step 2: Convert to fraction form
    6,605.20/9,230 = 6,605.20/x
  3. Step 3: Cross multiply
    6,605.20x = 9,230 × 6,605.20
  4. Step 4: Simplify right side
    6,605.20x = 60,965,996
  5. Step 5: Solve for x
    x = 60,965,996/6,605.20
  6. Step 6: Final answer
    x = 9,230

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.