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Finding the Fourth Proportional to 6,606.50, 9,115.54 and 3,810.38

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Solution

The fourth proportional to 6,606.50, 9,115.54 and 3,810.38 is: 5,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.50 : 9,115.54 = 3,810.38 : x
  2. Step 2: Convert to fraction form
    6,606.50/9,115.54 = 3,810.38/x
  3. Step 3: Cross multiply
    6,606.50x = 9,115.54 × 3,810.38
  4. Step 4: Simplify right side
    6,606.50x = 34,733,616.20
  5. Step 5: Solve for x
    x = 34,733,616.20/6,606.50
  6. Step 6: Final answer
    x = 5,257.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.