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Finding the Fourth Proportional to 6,456.86, 9,685.86 and 2,508.02

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Solution

The fourth proportional to 6,456.86, 9,685.86 and 2,508.02 is: 3,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.86 : 9,685.86 = 2,508.02 : x
  2. Step 2: Convert to fraction form
    6,456.86/9,685.86 = 2,508.02/x
  3. Step 3: Cross multiply
    6,456.86x = 9,685.86 × 2,508.02
  4. Step 4: Simplify right side
    6,456.86x = 24,292,330.60
  5. Step 5: Solve for x
    x = 24,292,330.60/6,456.86
  6. Step 6: Final answer
    x = 3,762.25

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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.