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Finding the Fourth Proportional to 17,697.79, 24,422.04 and 9,740.77

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Solution

The fourth proportional to 17,697.79, 24,422.04 and 9,740.77 is: 13,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.79 : 24,422.04 = 9,740.77 : x
  2. Step 2: Convert to fraction form
    17,697.79/24,422.04 = 9,740.77/x
  3. Step 3: Cross multiply
    17,697.79x = 24,422.04 × 9,740.77
  4. Step 4: Simplify right side
    17,697.79x = 237,889,474.57
  5. Step 5: Solve for x
    x = 237,889,474.57/17,697.79
  6. Step 6: Final answer
    x = 13,441.76

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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.