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Finding the Fourth Proportional to 10,531.44, 15,798 and 3,606

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Solution

The fourth proportional to 10,531.44, 15,798 and 3,606 is: 5,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.44 : 15,798 = 3,606 : x
  2. Step 2: Convert to fraction form
    10,531.44/15,798 = 3,606/x
  3. Step 3: Cross multiply
    10,531.44x = 15,798 × 3,606
  4. Step 4: Simplify right side
    10,531.44x = 56,967,588
  5. Step 5: Solve for x
    x = 56,967,588/10,531.44
  6. Step 6: Final answer
    x = 5,409.29

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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.