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Finding the Fourth Proportional to 26,897.60, 40,351.80 and 8,178.80

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Solution

The fourth proportional to 26,897.60, 40,351.80 and 8,178.80 is: 12,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,897.60 : 40,351.80 = 8,178.80 : x
  2. Step 2: Convert to fraction form
    26,897.60/40,351.80 = 8,178.80/x
  3. Step 3: Cross multiply
    26,897.60x = 40,351.80 × 8,178.80
  4. Step 4: Simplify right side
    26,897.60x = 330,029,301.84
  5. Step 5: Solve for x
    x = 330,029,301.84/26,897.60
  6. Step 6: Final answer
    x = 12,269.84

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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.