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Finding the Fourth Proportional to 10,264.40, 15,397.68 and 6,794

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Solution

The fourth proportional to 10,264.40, 15,397.68 and 6,794 is: 10,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.40 : 15,397.68 = 6,794 : x
  2. Step 2: Convert to fraction form
    10,264.40/15,397.68 = 6,794/x
  3. Step 3: Cross multiply
    10,264.40x = 15,397.68 × 6,794
  4. Step 4: Simplify right side
    10,264.40x = 104,611,837.92
  5. Step 5: Solve for x
    x = 104,611,837.92/10,264.40
  6. Step 6: Final answer
    x = 10,191.71

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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.