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Finding the Fourth Proportional to 6,506.83, 8,979.36 and 3,522.64

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Solution

The fourth proportional to 6,506.83, 8,979.36 and 3,522.64 is: 4,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.83 : 8,979.36 = 3,522.64 : x
  2. Step 2: Convert to fraction form
    6,506.83/8,979.36 = 3,522.64/x
  3. Step 3: Cross multiply
    6,506.83x = 8,979.36 × 3,522.64
  4. Step 4: Simplify right side
    6,506.83x = 31,631,052.71
  5. Step 5: Solve for x
    x = 31,631,052.71/6,506.83
  6. Step 6: Final answer
    x = 4,861.21

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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.