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Finding the Fourth Proportional to 36,153.84, 54,230.42 and 9,858.54

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Solution

The fourth proportional to 36,153.84, 54,230.42 and 9,858.54 is: 14,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153.84 : 54,230.42 = 9,858.54 : x
  2. Step 2: Convert to fraction form
    36,153.84/54,230.42 = 9,858.54/x
  3. Step 3: Cross multiply
    36,153.84x = 54,230.42 × 9,858.54
  4. Step 4: Simplify right side
    36,153.84x = 534,632,764.79
  5. Step 5: Solve for x
    x = 534,632,764.79/36,153.84
  6. Step 6: Final answer
    x = 14,787.72

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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.