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Finding the Fourth Proportional to 6,202.40, 9,305.01 and 1,820.21

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Solution

The fourth proportional to 6,202.40, 9,305.01 and 1,820.21 is: 2,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.40 : 9,305.01 = 1,820.21 : x
  2. Step 2: Convert to fraction form
    6,202.40/9,305.01 = 1,820.21/x
  3. Step 3: Cross multiply
    6,202.40x = 9,305.01 × 1,820.21
  4. Step 4: Simplify right side
    6,202.40x = 16,937,025.73
  5. Step 5: Solve for x
    x = 16,937,025.73/6,202.40
  6. Step 6: Final answer
    x = 2,730.72

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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.