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Finding the Fourth Proportional to 6,565.86, 9,849.42 and 2,669.76

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Solution

The fourth proportional to 6,565.86, 9,849.42 and 2,669.76 is: 4,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.86 : 9,849.42 = 2,669.76 : x
  2. Step 2: Convert to fraction form
    6,565.86/9,849.42 = 2,669.76/x
  3. Step 3: Cross multiply
    6,565.86x = 9,849.42 × 2,669.76
  4. Step 4: Simplify right side
    6,565.86x = 26,295,587.54
  5. Step 5: Solve for x
    x = 26,295,587.54/6,565.86
  6. Step 6: Final answer
    x = 4,004.90

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1.5x scale

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.