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Finding the Fourth Proportional to 6,580.86, 9,873.30 and 3,951.30

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Solution

The fourth proportional to 6,580.86, 9,873.30 and 3,951.30 is: 5,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.86 : 9,873.30 = 3,951.30 : x
  2. Step 2: Convert to fraction form
    6,580.86/9,873.30 = 3,951.30/x
  3. Step 3: Cross multiply
    6,580.86x = 9,873.30 × 3,951.30
  4. Step 4: Simplify right side
    6,580.86x = 39,012,370.29
  5. Step 5: Solve for x
    x = 39,012,370.29/6,580.86
  6. Step 6: Final answer
    x = 5,928.16

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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.