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Finding the Fourth Proportional to 26,902.80, 40,355.40 and 10,270.80

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Solution

The fourth proportional to 26,902.80, 40,355.40 and 10,270.80 is: 15,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.80 : 40,355.40 = 10,270.80 : x
  2. Step 2: Convert to fraction form
    26,902.80/40,355.40 = 10,270.80/x
  3. Step 3: Cross multiply
    26,902.80x = 40,355.40 × 10,270.80
  4. Step 4: Simplify right side
    26,902.80x = 414,482,242.32
  5. Step 5: Solve for x
    x = 414,482,242.32/26,902.80
  6. Step 6: Final answer
    x = 15,406.66

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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.