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Finding the Fourth Proportional to 26,692.69, 40,031.34 and 7,971.97

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Solution

The fourth proportional to 26,692.69, 40,031.34 and 7,971.97 is: 11,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,692.69 : 40,031.34 = 7,971.97 : x
  2. Step 2: Convert to fraction form
    26,692.69/40,031.34 = 7,971.97/x
  3. Step 3: Cross multiply
    26,692.69x = 40,031.34 × 7,971.97
  4. Step 4: Simplify right side
    26,692.69x = 319,128,641.54
  5. Step 5: Solve for x
    x = 319,128,641.54/26,692.69
  6. Step 6: Final answer
    x = 11,955.66

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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.