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Finding the Fourth Proportional to 6,605.85, 9,905.18 and 3,044.11

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Solution

The fourth proportional to 6,605.85, 9,905.18 and 3,044.11 is: 4,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.85 : 9,905.18 = 3,044.11 : x
  2. Step 2: Convert to fraction form
    6,605.85/9,905.18 = 3,044.11/x
  3. Step 3: Cross multiply
    6,605.85x = 9,905.18 × 3,044.11
  4. Step 4: Simplify right side
    6,605.85x = 30,152,457.49
  5. Step 5: Solve for x
    x = 30,152,457.49/6,605.85
  6. Step 6: Final answer
    x = 4,564.51

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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.