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Finding the Fourth Proportional to 10,952.22, 16,401.99 and 6,258

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Solution

The fourth proportional to 10,952.22, 16,401.99 and 6,258 is: 9,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.22 : 16,401.99 = 6,258 : x
  2. Step 2: Convert to fraction form
    10,952.22/16,401.99 = 6,258/x
  3. Step 3: Cross multiply
    10,952.22x = 16,401.99 × 6,258
  4. Step 4: Simplify right side
    10,952.22x = 102,643,653.42
  5. Step 5: Solve for x
    x = 102,643,653.42/10,952.22
  6. Step 6: Final answer
    x = 9,371.95

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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.