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Finding the Fourth Proportional to 11,559.76, 15,952.78 and 6,844.04

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Solution

The fourth proportional to 11,559.76, 15,952.78 and 6,844.04 is: 9,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.76 : 15,952.78 = 6,844.04 : x
  2. Step 2: Convert to fraction form
    11,559.76/15,952.78 = 6,844.04/x
  3. Step 3: Cross multiply
    11,559.76x = 15,952.78 × 6,844.04
  4. Step 4: Simplify right side
    11,559.76x = 109,181,453.05
  5. Step 5: Solve for x
    x = 109,181,453.05/11,559.76
  6. Step 6: Final answer
    x = 9,444.96

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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.