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Finding the Fourth Proportional to 6,810.20, 9,398.59 and 4,158.12

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Solution

The fourth proportional to 6,810.20, 9,398.59 and 4,158.12 is: 5,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.20 : 9,398.59 = 4,158.12 : x
  2. Step 2: Convert to fraction form
    6,810.20/9,398.59 = 4,158.12/x
  3. Step 3: Cross multiply
    6,810.20x = 9,398.59 × 4,158.12
  4. Step 4: Simplify right side
    6,810.20x = 39,080,465.05
  5. Step 5: Solve for x
    x = 39,080,465.05/6,810.20
  6. Step 6: Final answer
    x = 5,738.52

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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.