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Finding the Fourth Proportional to 17,697.56, 24,422.06 and 9,739.78

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Solution

The fourth proportional to 17,697.56, 24,422.06 and 9,739.78 is: 13,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.56 : 24,422.06 = 9,739.78 : x
  2. Step 2: Convert to fraction form
    17,697.56/24,422.06 = 9,739.78/x
  3. Step 3: Cross multiply
    17,697.56x = 24,422.06 × 9,739.78
  4. Step 4: Simplify right side
    17,697.56x = 237,865,454.84
  5. Step 5: Solve for x
    x = 237,865,454.84/17,697.56
  6. Step 6: Final answer
    x = 13,440.58

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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.