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Finding the Fourth Proportional to 6,798.20, 9,380.10 and 4,002.20

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Solution

The fourth proportional to 6,798.20, 9,380.10 and 4,002.20 is: 5,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.20 : 9,380.10 = 4,002.20 : x
  2. Step 2: Convert to fraction form
    6,798.20/9,380.10 = 4,002.20/x
  3. Step 3: Cross multiply
    6,798.20x = 9,380.10 × 4,002.20
  4. Step 4: Simplify right side
    6,798.20x = 37,541,036.22
  5. Step 5: Solve for x
    x = 37,541,036.22/6,798.20
  6. Step 6: Final answer
    x = 5,522.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.