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Finding the Fourth Proportional to 6,891.50, 9,507.12 and 4,237.94

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Solution

The fourth proportional to 6,891.50, 9,507.12 and 4,237.94 is: 5,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.50 : 9,507.12 = 4,237.94 : x
  2. Step 2: Convert to fraction form
    6,891.50/9,507.12 = 4,237.94/x
  3. Step 3: Cross multiply
    6,891.50x = 9,507.12 × 4,237.94
  4. Step 4: Simplify right side
    6,891.50x = 40,290,604.13
  5. Step 5: Solve for x
    x = 40,290,604.13/6,891.50
  6. Step 6: Final answer
    x = 5,846.42

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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.