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Finding the Fourth Proportional to 6,373.96, 9,565.26 and 2,477.86

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Solution

The fourth proportional to 6,373.96, 9,565.26 and 2,477.86 is: 3,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.96 : 9,565.26 = 2,477.86 : x
  2. Step 2: Convert to fraction form
    6,373.96/9,565.26 = 2,477.86/x
  3. Step 3: Cross multiply
    6,373.96x = 9,565.26 × 2,477.86
  4. Step 4: Simplify right side
    6,373.96x = 23,701,375.14
  5. Step 5: Solve for x
    x = 23,701,375.14/6,373.96
  6. Step 6: Final answer
    x = 3,718.47

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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.