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Finding the Fourth Proportional to 26,933.42, 40,400.78 and 9,164.04

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Solution

The fourth proportional to 26,933.42, 40,400.78 and 9,164.04 is: 13,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,933.42 : 40,400.78 = 9,164.04 : x
  2. Step 2: Convert to fraction form
    26,933.42/40,400.78 = 9,164.04/x
  3. Step 3: Cross multiply
    26,933.42x = 40,400.78 × 9,164.04
  4. Step 4: Simplify right side
    26,933.42x = 370,234,363.95
  5. Step 5: Solve for x
    x = 370,234,363.95/26,933.42
  6. Step 6: Final answer
    x = 13,746.28

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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.