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Finding the Fourth Proportional to 6,516.66, 9,781.50 and 3,596.34

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Solution

The fourth proportional to 6,516.66, 9,781.50 and 3,596.34 is: 5,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.66 : 9,781.50 = 3,596.34 : x
  2. Step 2: Convert to fraction form
    6,516.66/9,781.50 = 3,596.34/x
  3. Step 3: Cross multiply
    6,516.66x = 9,781.50 × 3,596.34
  4. Step 4: Simplify right side
    6,516.66x = 35,177,599.71
  5. Step 5: Solve for x
    x = 35,177,599.71/6,516.66
  6. Step 6: Final answer
    x = 5,398.10

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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.