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Finding the Fourth Proportional to 6,565.86, 9,849.60 and 2,184.84

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Solution

The fourth proportional to 6,565.86, 9,849.60 and 2,184.84 is: 3,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.86 : 9,849.60 = 2,184.84 : x
  2. Step 2: Convert to fraction form
    6,565.86/9,849.60 = 2,184.84/x
  3. Step 3: Cross multiply
    6,565.86x = 9,849.60 × 2,184.84
  4. Step 4: Simplify right side
    6,565.86x = 21,519,800.06
  5. Step 5: Solve for x
    x = 21,519,800.06/6,565.86
  6. Step 6: Final answer
    x = 3,277.53

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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.