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Finding the Fourth Proportional to 20,564.78, 30,847.77 and 6,524.87

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Solution

The fourth proportional to 20,564.78, 30,847.77 and 6,524.87 is: 9,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.78 : 30,847.77 = 6,524.87 : x
  2. Step 2: Convert to fraction form
    20,564.78/30,847.77 = 6,524.87/x
  3. Step 3: Cross multiply
    20,564.78x = 30,847.77 × 6,524.87
  4. Step 4: Simplify right side
    20,564.78x = 201,277,689.04
  5. Step 5: Solve for x
    x = 201,277,689.04/20,564.78
  6. Step 6: Final answer
    x = 9,787.50

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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.