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Finding the Fourth Proportional to 15,644.79, 23,463.07 and 5,786.89

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Solution

The fourth proportional to 15,644.79, 23,463.07 and 5,786.89 is: 8,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.79 : 23,463.07 = 5,786.89 : x
  2. Step 2: Convert to fraction form
    15,644.79/23,463.07 = 5,786.89/x
  3. Step 3: Cross multiply
    15,644.79x = 23,463.07 × 5,786.89
  4. Step 4: Simplify right side
    15,644.79x = 135,778,205.15
  5. Step 5: Solve for x
    x = 135,778,205.15/15,644.79
  6. Step 6: Final answer
    x = 8,678.81

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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.