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Finding the Fourth Proportional to 6,506.66, 9,766.47 and 3,586.34

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Solution

The fourth proportional to 6,506.66, 9,766.47 and 3,586.34 is: 5,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.66 : 9,766.47 = 3,586.34 : x
  2. Step 2: Convert to fraction form
    6,506.66/9,766.47 = 3,586.34/x
  3. Step 3: Cross multiply
    6,506.66x = 9,766.47 × 3,586.34
  4. Step 4: Simplify right side
    6,506.66x = 35,025,919.88
  5. Step 5: Solve for x
    x = 35,025,919.88/6,506.66
  6. Step 6: Final answer
    x = 5,383.09

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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.