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Finding the Fourth Proportional to 6,313.14, 9,469.71 and 2,415.42

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Solution

The fourth proportional to 6,313.14, 9,469.71 and 2,415.42 is: 3,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.14 : 9,469.71 = 2,415.42 : x
  2. Step 2: Convert to fraction form
    6,313.14/9,469.71 = 2,415.42/x
  3. Step 3: Cross multiply
    6,313.14x = 9,469.71 × 2,415.42
  4. Step 4: Simplify right side
    6,313.14x = 22,873,326.93
  5. Step 5: Solve for x
    x = 22,873,326.93/6,313.14
  6. Step 6: Final answer
    x = 3,623.13

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.