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Finding the Fourth Proportional to 6,459.61, 9,690.78 and 2,077.41

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Solution

The fourth proportional to 6,459.61, 9,690.78 and 2,077.41 is: 3,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.61 : 9,690.78 = 2,077.41 : x
  2. Step 2: Convert to fraction form
    6,459.61/9,690.78 = 2,077.41/x
  3. Step 3: Cross multiply
    6,459.61x = 9,690.78 × 2,077.41
  4. Step 4: Simplify right side
    6,459.61x = 20,131,712.90
  5. Step 5: Solve for x
    x = 20,131,712.90/6,459.61
  6. Step 6: Final answer
    x = 3,116.55

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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.