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Finding the Fourth Proportional to 11,494.85, 15,863.04 and 6,956.82

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Solution

The fourth proportional to 11,494.85, 15,863.04 and 6,956.82 is: 9,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.85 : 15,863.04 = 6,956.82 : x
  2. Step 2: Convert to fraction form
    11,494.85/15,863.04 = 6,956.82/x
  3. Step 3: Cross multiply
    11,494.85x = 15,863.04 × 6,956.82
  4. Step 4: Simplify right side
    11,494.85x = 110,356,313.93
  5. Step 5: Solve for x
    x = 110,356,313.93/11,494.85
  6. Step 6: Final answer
    x = 9,600.50

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1.5x scale

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.