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Finding the Fourth Proportional to 20,564.70, 30,847.05 and 5,774.10

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Solution

The fourth proportional to 20,564.70, 30,847.05 and 5,774.10 is: 8,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.70 : 30,847.05 = 5,774.10 : x
  2. Step 2: Convert to fraction form
    20,564.70/30,847.05 = 5,774.10/x
  3. Step 3: Cross multiply
    20,564.70x = 30,847.05 × 5,774.10
  4. Step 4: Simplify right side
    20,564.70x = 178,113,951.41
  5. Step 5: Solve for x
    x = 178,113,951.41/20,564.70
  6. Step 6: Final answer
    x = 8,661.15

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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.