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Finding the Fourth Proportional to 6,612.24, 9,904.86 and 3,692.10

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Solution

The fourth proportional to 6,612.24, 9,904.86 and 3,692.10 is: 5,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.24 : 9,904.86 = 3,692.10 : x
  2. Step 2: Convert to fraction form
    6,612.24/9,904.86 = 3,692.10/x
  3. Step 3: Cross multiply
    6,612.24x = 9,904.86 × 3,692.10
  4. Step 4: Simplify right side
    6,612.24x = 36,569,733.61
  5. Step 5: Solve for x
    x = 36,569,733.61/6,612.24
  6. Step 6: Final answer
    x = 5,530.61

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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.