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Finding the Fourth Proportional to 27,193.78, 40,807.10 and 9,662.28

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Solution

The fourth proportional to 27,193.78, 40,807.10 and 9,662.28 is: 14,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.78 : 40,807.10 = 9,662.28 : x
  2. Step 2: Convert to fraction form
    27,193.78/40,807.10 = 9,662.28/x
  3. Step 3: Cross multiply
    27,193.78x = 40,807.10 × 9,662.28
  4. Step 4: Simplify right side
    27,193.78x = 394,289,626.19
  5. Step 5: Solve for x
    x = 394,289,626.19/27,193.78
  6. Step 6: Final answer
    x = 14,499.26

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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.