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Finding the Fourth Proportional to 6,811.14, 9,393.74 and 5,751.36

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Solution

The fourth proportional to 6,811.14, 9,393.74 and 5,751.36 is: 7,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.14 : 9,393.74 = 5,751.36 : x
  2. Step 2: Convert to fraction form
    6,811.14/9,393.74 = 5,751.36/x
  3. Step 3: Cross multiply
    6,811.14x = 9,393.74 × 5,751.36
  4. Step 4: Simplify right side
    6,811.14x = 54,026,780.49
  5. Step 5: Solve for x
    x = 54,026,780.49/6,811.14
  6. Step 6: Final answer
    x = 7,932.12

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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.