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Finding the Fourth Proportional to 9,991.68, 13,792.52 and 6,016.20

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Solution

The fourth proportional to 9,991.68, 13,792.52 and 6,016.20 is: 8,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.68 : 13,792.52 = 6,016.20 : x
  2. Step 2: Convert to fraction form
    9,991.68/13,792.52 = 6,016.20/x
  3. Step 3: Cross multiply
    9,991.68x = 13,792.52 × 6,016.20
  4. Step 4: Simplify right side
    9,991.68x = 82,978,558.82
  5. Step 5: Solve for x
    x = 82,978,558.82/9,991.68
  6. Step 6: Final answer
    x = 8,304.77

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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.