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Finding the Fourth Proportional to 6,506.27, 8,978.66 and 3,522.14

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Solution

The fourth proportional to 6,506.27, 8,978.66 and 3,522.14 is: 4,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.27 : 8,978.66 = 3,522.14 : x
  2. Step 2: Convert to fraction form
    6,506.27/8,978.66 = 3,522.14/x
  3. Step 3: Cross multiply
    6,506.27x = 8,978.66 × 3,522.14
  4. Step 4: Simplify right side
    6,506.27x = 31,624,035.03
  5. Step 5: Solve for x
    x = 31,624,035.03/6,506.27
  6. Step 6: Final answer
    x = 4,860.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.