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Finding the Fourth Proportional to 6,820.20, 10,230.30 and 4,228.20

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Solution

The fourth proportional to 6,820.20, 10,230.30 and 4,228.20 is: 6,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.20 : 10,230.30 = 4,228.20 : x
  2. Step 2: Convert to fraction form
    6,820.20/10,230.30 = 4,228.20/x
  3. Step 3: Cross multiply
    6,820.20x = 10,230.30 × 4,228.20
  4. Step 4: Simplify right side
    6,820.20x = 43,255,754.46
  5. Step 5: Solve for x
    x = 43,255,754.46/6,820.20
  6. Step 6: Final answer
    x = 6,342.30

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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.