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Finding the Fourth Proportional to 6,810.46, 9,400.37 and 3,978.49

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Solution

The fourth proportional to 6,810.46, 9,400.37 and 3,978.49 is: 5,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.46 : 9,400.37 = 3,978.49 : x
  2. Step 2: Convert to fraction form
    6,810.46/9,400.37 = 3,978.49/x
  3. Step 3: Cross multiply
    6,810.46x = 9,400.37 × 3,978.49
  4. Step 4: Simplify right side
    6,810.46x = 37,399,278.04
  5. Step 5: Solve for x
    x = 37,399,278.04/6,810.46
  6. Step 6: Final answer
    x = 5,491.45

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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.