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Finding the Fourth Proportional to 7,205.14, 10,850.11 and 6,291.64

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Solution

The fourth proportional to 7,205.14, 10,850.11 and 6,291.64 is: 9,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.14 : 10,850.11 = 6,291.64 : x
  2. Step 2: Convert to fraction form
    7,205.14/10,850.11 = 6,291.64/x
  3. Step 3: Cross multiply
    7,205.14x = 10,850.11 × 6,291.64
  4. Step 4: Simplify right side
    7,205.14x = 68,264,986.08
  5. Step 5: Solve for x
    x = 68,264,986.08/7,205.14
  6. Step 6: Final answer
    x = 9,474.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.