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Finding the Fourth Proportional to 6,079.92, 9,119.06 and 1,697.82

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Solution

The fourth proportional to 6,079.92, 9,119.06 and 1,697.82 is: 2,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079.92 : 9,119.06 = 1,697.82 : x
  2. Step 2: Convert to fraction form
    6,079.92/9,119.06 = 1,697.82/x
  3. Step 3: Cross multiply
    6,079.92x = 9,119.06 × 1,697.82
  4. Step 4: Simplify right side
    6,079.92x = 15,482,526.69
  5. Step 5: Solve for x
    x = 15,482,526.69/6,079.92
  6. Step 6: Final answer
    x = 2,546.50

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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.