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Finding the Fourth Proportional to 17,604.77, 24,294.47 and 9,538.58

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Solution

The fourth proportional to 17,604.77, 24,294.47 and 9,538.58 is: 13,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.77 : 24,294.47 = 9,538.58 : x
  2. Step 2: Convert to fraction form
    17,604.77/24,294.47 = 9,538.58/x
  3. Step 3: Cross multiply
    17,604.77x = 24,294.47 × 9,538.58
  4. Step 4: Simplify right side
    17,604.77x = 231,734,576.49
  5. Step 5: Solve for x
    x = 231,734,576.49/17,604.77
  6. Step 6: Final answer
    x = 13,163.17

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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.