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Finding the Fourth Proportional to 20,002.60, 30,003.90 and 6,855.40

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Solution

The fourth proportional to 20,002.60, 30,003.90 and 6,855.40 is: 10,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.60 : 30,003.90 = 6,855.40 : x
  2. Step 2: Convert to fraction form
    20,002.60/30,003.90 = 6,855.40/x
  3. Step 3: Cross multiply
    20,002.60x = 30,003.90 × 6,855.40
  4. Step 4: Simplify right side
    20,002.60x = 205,688,736.06
  5. Step 5: Solve for x
    x = 205,688,736.06/20,002.60
  6. Step 6: Final answer
    x = 10,283.10

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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.