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Finding the Fourth Proportional to 17,629.40, 26,407.30 and 8,277.40

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Solution

The fourth proportional to 17,629.40, 26,407.30 and 8,277.40 is: 12,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,629.40 : 26,407.30 = 8,277.40 : x
  2. Step 2: Convert to fraction form
    17,629.40/26,407.30 = 8,277.40/x
  3. Step 3: Cross multiply
    17,629.40x = 26,407.30 × 8,277.40
  4. Step 4: Simplify right side
    17,629.40x = 218,583,785.02
  5. Step 5: Solve for x
    x = 218,583,785.02/17,629.40
  6. Step 6: Final answer
    x = 12,398.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.