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Finding the Fourth Proportional to 6,133.56, 9,201.42 and 2,243.40

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Solution

The fourth proportional to 6,133.56, 9,201.42 and 2,243.40 is: 3,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.56 : 9,201.42 = 2,243.40 : x
  2. Step 2: Convert to fraction form
    6,133.56/9,201.42 = 2,243.40/x
  3. Step 3: Cross multiply
    6,133.56x = 9,201.42 × 2,243.40
  4. Step 4: Simplify right side
    6,133.56x = 20,642,465.63
  5. Step 5: Solve for x
    x = 20,642,465.63/6,133.56
  6. Step 6: Final answer
    x = 3,365.50

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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.