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Finding the Fourth Proportional to 17,743, 24,485.51 and 9,785.49

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Solution

The fourth proportional to 17,743, 24,485.51 and 9,785.49 is: 13,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743 : 24,485.51 = 9,785.49 : x
  2. Step 2: Convert to fraction form
    17,743/24,485.51 = 9,785.49/x
  3. Step 3: Cross multiply
    17,743x = 24,485.51 × 9,785.49
  4. Step 4: Simplify right side
    17,743x = 239,602,713.25
  5. Step 5: Solve for x
    x = 239,602,713.25/17,743
  6. Step 6: Final answer
    x = 13,504.07

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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.