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Finding the Fourth Proportional to 5,989.31, 8,923.78 and 5,653.97

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Solution

The fourth proportional to 5,989.31, 8,923.78 and 5,653.97 is: 8,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.31 : 8,923.78 = 5,653.97 : x
  2. Step 2: Convert to fraction form
    5,989.31/8,923.78 = 5,653.97/x
  3. Step 3: Cross multiply
    5,989.31x = 8,923.78 × 5,653.97
  4. Step 4: Simplify right side
    5,989.31x = 50,454,764.42
  5. Step 5: Solve for x
    x = 50,454,764.42/5,989.31
  6. Step 6: Final answer
    x = 8,424.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.