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Finding the Fourth Proportional to 6,455.14, 9,687.02 and 2,351.14

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Solution

The fourth proportional to 6,455.14, 9,687.02 and 2,351.14 is: 3,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.14 : 9,687.02 = 2,351.14 : x
  2. Step 2: Convert to fraction form
    6,455.14/9,687.02 = 2,351.14/x
  3. Step 3: Cross multiply
    6,455.14x = 9,687.02 × 2,351.14
  4. Step 4: Simplify right side
    6,455.14x = 22,775,540.20
  5. Step 5: Solve for x
    x = 22,775,540.20/6,455.14
  6. Step 6: Final answer
    x = 3,528.28

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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.