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Finding the Fourth Proportional to 6,605.10, 9,114.23 and 4,181.52

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Solution

The fourth proportional to 6,605.10, 9,114.23 and 4,181.52 is: 5,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.10 : 9,114.23 = 4,181.52 : x
  2. Step 2: Convert to fraction form
    6,605.10/9,114.23 = 4,181.52/x
  3. Step 3: Cross multiply
    6,605.10x = 9,114.23 × 4,181.52
  4. Step 4: Simplify right side
    6,605.10x = 38,111,314.12
  5. Step 5: Solve for x
    x = 38,111,314.12/6,605.10
  6. Step 6: Final answer
    x = 5,769.98

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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.