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Finding the Fourth Proportional to 6,565.59, 9,849.85 and 2,405.51

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Solution

The fourth proportional to 6,565.59, 9,849.85 and 2,405.51 is: 3,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.59 : 9,849.85 = 2,405.51 : x
  2. Step 2: Convert to fraction form
    6,565.59/9,849.85 = 2,405.51/x
  3. Step 3: Cross multiply
    6,565.59x = 9,849.85 × 2,405.51
  4. Step 4: Simplify right side
    6,565.59x = 23,693,912.67
  5. Step 5: Solve for x
    x = 23,693,912.67/6,565.59
  6. Step 6: Final answer
    x = 3,608.80

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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.