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Finding the Fourth Proportional to 26,602.57, 39,904.26 and 7,884.49

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Solution

The fourth proportional to 26,602.57, 39,904.26 and 7,884.49 is: 11,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.57 : 39,904.26 = 7,884.49 : x
  2. Step 2: Convert to fraction form
    26,602.57/39,904.26 = 7,884.49/x
  3. Step 3: Cross multiply
    26,602.57x = 39,904.26 × 7,884.49
  4. Step 4: Simplify right side
    26,602.57x = 314,624,738.93
  5. Step 5: Solve for x
    x = 314,624,738.93/26,602.57
  6. Step 6: Final answer
    x = 11,826.86

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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.