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Finding the Fourth Proportional to 6,301.64, 9,453 and 1,919.14

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Solution

The fourth proportional to 6,301.64, 9,453 and 1,919.14 is: 2,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.64 : 9,453 = 1,919.14 : x
  2. Step 2: Convert to fraction form
    6,301.64/9,453 = 1,919.14/x
  3. Step 3: Cross multiply
    6,301.64x = 9,453 × 1,919.14
  4. Step 4: Simplify right side
    6,301.64x = 18,141,630.42
  5. Step 5: Solve for x
    x = 18,141,630.42/6,301.64
  6. Step 6: Final answer
    x = 2,878.87

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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.