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Finding the Fourth Proportional to 6,811.56, 9,391.14 and 4,452.84

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Solution

The fourth proportional to 6,811.56, 9,391.14 and 4,452.84 is: 6,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.56 : 9,391.14 = 4,452.84 : x
  2. Step 2: Convert to fraction form
    6,811.56/9,391.14 = 4,452.84/x
  3. Step 3: Cross multiply
    6,811.56x = 9,391.14 × 4,452.84
  4. Step 4: Simplify right side
    6,811.56x = 41,817,243.84
  5. Step 5: Solve for x
    x = 41,817,243.84/6,811.56
  6. Step 6: Final answer
    x = 6,139.16

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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.