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Finding the Fourth Proportional to 8,232.54, 12,350.84 and 2,389.07

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Solution

The fourth proportional to 8,232.54, 12,350.84 and 2,389.07 is: 3,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.54 : 12,350.84 = 2,389.07 : x
  2. Step 2: Convert to fraction form
    8,232.54/12,350.84 = 2,389.07/x
  3. Step 3: Cross multiply
    8,232.54x = 12,350.84 × 2,389.07
  4. Step 4: Simplify right side
    8,232.54x = 29,507,009.37
  5. Step 5: Solve for x
    x = 29,507,009.37/8,232.54
  6. Step 6: Final answer
    x = 3,584.19

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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.