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Finding the Fourth Proportional to 6,009.74, 9,016.22 and 5,431.40

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Solution

The fourth proportional to 6,009.74, 9,016.22 and 5,431.40 is: 8,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.74 : 9,016.22 = 5,431.40 : x
  2. Step 2: Convert to fraction form
    6,009.74/9,016.22 = 5,431.40/x
  3. Step 3: Cross multiply
    6,009.74x = 9,016.22 × 5,431.40
  4. Step 4: Simplify right side
    6,009.74x = 48,970,665.81
  5. Step 5: Solve for x
    x = 48,970,665.81/6,009.74
  6. Step 6: Final answer
    x = 8,148.56

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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.