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Finding the Fourth Proportional to 6,956, 9,599.52 and 5,196.32

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Solution

The fourth proportional to 6,956, 9,599.52 and 5,196.32 is: 7,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 9,599.52 = 5,196.32 : x
  2. Step 2: Convert to fraction form
    6,956/9,599.52 = 5,196.32/x
  3. Step 3: Cross multiply
    6,956x = 9,599.52 × 5,196.32
  4. Step 4: Simplify right side
    6,956x = 49,882,177.77
  5. Step 5: Solve for x
    x = 49,882,177.77/6,956
  6. Step 6: Final answer
    x = 7,171.10

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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.