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Finding the Fourth Proportional to 6,656.64, 9,982.32 and 2,956.32

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Solution

The fourth proportional to 6,656.64, 9,982.32 and 2,956.32 is: 4,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.64 : 9,982.32 = 2,956.32 : x
  2. Step 2: Convert to fraction form
    6,656.64/9,982.32 = 2,956.32/x
  3. Step 3: Cross multiply
    6,656.64x = 9,982.32 × 2,956.32
  4. Step 4: Simplify right side
    6,656.64x = 29,510,932.26
  5. Step 5: Solve for x
    x = 29,510,932.26/6,656.64
  6. Step 6: Final answer
    x = 4,433.31

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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.