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Finding the Fourth Proportional to 9,584.82, 14,377.22 and 2,659.32

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Solution

The fourth proportional to 9,584.82, 14,377.22 and 2,659.32 is: 3,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.82 : 14,377.22 = 2,659.32 : x
  2. Step 2: Convert to fraction form
    9,584.82/14,377.22 = 2,659.32/x
  3. Step 3: Cross multiply
    9,584.82x = 14,377.22 × 2,659.32
  4. Step 4: Simplify right side
    9,584.82x = 38,233,628.69
  5. Step 5: Solve for x
    x = 38,233,628.69/9,584.82
  6. Step 6: Final answer
    x = 3,988.98

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1.5x scale

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.