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Finding the Fourth Proportional to 6,118.77, 9,178.50 and 1,735.88

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Solution

The fourth proportional to 6,118.77, 9,178.50 and 1,735.88 is: 2,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.77 : 9,178.50 = 1,735.88 : x
  2. Step 2: Convert to fraction form
    6,118.77/9,178.50 = 1,735.88/x
  3. Step 3: Cross multiply
    6,118.77x = 9,178.50 × 1,735.88
  4. Step 4: Simplify right side
    6,118.77x = 15,932,728.69
  5. Step 5: Solve for x
    x = 15,932,728.69/6,118.77
  6. Step 6: Final answer
    x = 2,603.91

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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.