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Finding the Fourth Proportional to 6,586.60, 9,881.10 and 2,203.24

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Solution

The fourth proportional to 6,586.60, 9,881.10 and 2,203.24 is: 3,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.60 : 9,881.10 = 2,203.24 : x
  2. Step 2: Convert to fraction form
    6,586.60/9,881.10 = 2,203.24/x
  3. Step 3: Cross multiply
    6,586.60x = 9,881.10 × 2,203.24
  4. Step 4: Simplify right side
    6,586.60x = 21,770,434.76
  5. Step 5: Solve for x
    x = 21,770,434.76/6,586.60
  6. Step 6: Final answer
    x = 3,305.26

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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.