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Finding the Fourth Proportional to 10,459, 15,694.98 and 6,078.52

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Solution

The fourth proportional to 10,459, 15,694.98 and 6,078.52 is: 9,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459 : 15,694.98 = 6,078.52 : x
  2. Step 2: Convert to fraction form
    10,459/15,694.98 = 6,078.52/x
  3. Step 3: Cross multiply
    10,459x = 15,694.98 × 6,078.52
  4. Step 4: Simplify right side
    10,459x = 95,402,249.83
  5. Step 5: Solve for x
    x = 95,402,249.83/10,459
  6. Step 6: Final answer
    x = 9,121.55

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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.