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Finding the Fourth Proportional to 27,576, 41,364.81 and 6,799.50

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Solution

The fourth proportional to 27,576, 41,364.81 and 6,799.50 is: 10,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 41,364.81 = 6,799.50 : x
  2. Step 2: Convert to fraction form
    27,576/41,364.81 = 6,799.50/x
  3. Step 3: Cross multiply
    27,576x = 41,364.81 × 6,799.50
  4. Step 4: Simplify right side
    27,576x = 281,260,025.60
  5. Step 5: Solve for x
    x = 281,260,025.60/27,576
  6. Step 6: Final answer
    x = 10,199.45

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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.