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Finding the Fourth Proportional to 17,798.64, 24,559.97 and 9,839.78

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Solution

The fourth proportional to 17,798.64, 24,559.97 and 9,839.78 is: 13,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798.64 : 24,559.97 = 9,839.78 : x
  2. Step 2: Convert to fraction form
    17,798.64/24,559.97 = 9,839.78/x
  3. Step 3: Cross multiply
    17,798.64x = 24,559.97 × 9,839.78
  4. Step 4: Simplify right side
    17,798.64x = 241,664,677.06
  5. Step 5: Solve for x
    x = 241,664,677.06/17,798.64
  6. Step 6: Final answer
    x = 13,577.71

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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.