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Finding the Fourth Proportional to 8,659.84, 11,947.44 and 7,094.56

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Solution

The fourth proportional to 8,659.84, 11,947.44 and 7,094.56 is: 9,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.84 : 11,947.44 = 7,094.56 : x
  2. Step 2: Convert to fraction form
    8,659.84/11,947.44 = 7,094.56/x
  3. Step 3: Cross multiply
    8,659.84x = 11,947.44 × 7,094.56
  4. Step 4: Simplify right side
    8,659.84x = 84,761,829.93
  5. Step 5: Solve for x
    x = 84,761,829.93/8,659.84
  6. Step 6: Final answer
    x = 9,787.92

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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.