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Finding the Fourth Proportional to 10,224.36, 15,326.80 and 3,294

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Solution

The fourth proportional to 10,224.36, 15,326.80 and 3,294 is: 4,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.36 : 15,326.80 = 3,294 : x
  2. Step 2: Convert to fraction form
    10,224.36/15,326.80 = 3,294/x
  3. Step 3: Cross multiply
    10,224.36x = 15,326.80 × 3,294
  4. Step 4: Simplify right side
    10,224.36x = 50,486,479.20
  5. Step 5: Solve for x
    x = 50,486,479.20/10,224.36
  6. Step 6: Final answer
    x = 4,937.86

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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.