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Finding the Fourth Proportional to 6,459.50, 9,689.33 and 2,076.95

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Solution

The fourth proportional to 6,459.50, 9,689.33 and 2,076.95 is: 3,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.50 : 9,689.33 = 2,076.95 : x
  2. Step 2: Convert to fraction form
    6,459.50/9,689.33 = 2,076.95/x
  3. Step 3: Cross multiply
    6,459.50x = 9,689.33 × 2,076.95
  4. Step 4: Simplify right side
    6,459.50x = 20,124,243.56
  5. Step 5: Solve for x
    x = 20,124,243.56/6,459.50
  6. Step 6: Final answer
    x = 3,115.45

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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.