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Finding the Fourth Proportional to 6,664.62, 9,998.54 and 3,502.18

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Solution

The fourth proportional to 6,664.62, 9,998.54 and 3,502.18 is: 5,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.62 : 9,998.54 = 3,502.18 : x
  2. Step 2: Convert to fraction form
    6,664.62/9,998.54 = 3,502.18/x
  3. Step 3: Cross multiply
    6,664.62x = 9,998.54 × 3,502.18
  4. Step 4: Simplify right side
    6,664.62x = 35,016,686.82
  5. Step 5: Solve for x
    x = 35,016,686.82/6,664.62
  6. Step 6: Final answer
    x = 5,254.12

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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.