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Finding the Fourth Proportional to 7,956.72, 11,947.74 and 6,567

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Solution

The fourth proportional to 7,956.72, 11,947.74 and 6,567 is: 9,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.72 : 11,947.74 = 6,567 : x
  2. Step 2: Convert to fraction form
    7,956.72/11,947.74 = 6,567/x
  3. Step 3: Cross multiply
    7,956.72x = 11,947.74 × 6,567
  4. Step 4: Simplify right side
    7,956.72x = 78,460,808.58
  5. Step 5: Solve for x
    x = 78,460,808.58/7,956.72
  6. Step 6: Final answer
    x = 9,860.95

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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.