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Finding the Fourth Proportional to 6,506.64, 8,979.18 and 3,522.47

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Solution

The fourth proportional to 6,506.64, 8,979.18 and 3,522.47 is: 4,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.64 : 8,979.18 = 3,522.47 : x
  2. Step 2: Convert to fraction form
    6,506.64/8,979.18 = 3,522.47/x
  3. Step 3: Cross multiply
    6,506.64x = 8,979.18 × 3,522.47
  4. Step 4: Simplify right side
    6,506.64x = 31,628,894.16
  5. Step 5: Solve for x
    x = 31,628,894.16/6,506.64
  6. Step 6: Final answer
    x = 4,861.02

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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.