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Finding the Fourth Proportional to 26,532.96, 39,799.48 and 7,813.22

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Solution

The fourth proportional to 26,532.96, 39,799.48 and 7,813.22 is: 11,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532.96 : 39,799.48 = 7,813.22 : x
  2. Step 2: Convert to fraction form
    26,532.96/39,799.48 = 7,813.22/x
  3. Step 3: Cross multiply
    26,532.96x = 39,799.48 × 7,813.22
  4. Step 4: Simplify right side
    26,532.96x = 310,961,855.06
  5. Step 5: Solve for x
    x = 310,961,855.06/26,532.96
  6. Step 6: Final answer
    x = 11,719.83

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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.