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Finding the Fourth Proportional to 17,593.64, 24,278.32 and 9,634.33

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Solution

The fourth proportional to 17,593.64, 24,278.32 and 9,634.33 is: 13,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,593.64 : 24,278.32 = 9,634.33 : x
  2. Step 2: Convert to fraction form
    17,593.64/24,278.32 = 9,634.33/x
  3. Step 3: Cross multiply
    17,593.64x = 24,278.32 × 9,634.33
  4. Step 4: Simplify right side
    17,593.64x = 233,905,225.33
  5. Step 5: Solve for x
    x = 233,905,225.33/17,593.64
  6. Step 6: Final answer
    x = 13,294.87

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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.