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Finding the Fourth Proportional to 17,600.96, 24,290 and 9,643.52

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Solution

The fourth proportional to 17,600.96, 24,290 and 9,643.52 is: 13,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.96 : 24,290 = 9,643.52 : x
  2. Step 2: Convert to fraction form
    17,600.96/24,290 = 9,643.52/x
  3. Step 3: Cross multiply
    17,600.96x = 24,290 × 9,643.52
  4. Step 4: Simplify right side
    17,600.96x = 234,241,100.80
  5. Step 5: Solve for x
    x = 234,241,100.80/17,600.96
  6. Step 6: Final answer
    x = 13,308.43

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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.