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Finding the Fourth Proportional to 10,223.96, 15,339.18 and 3,650

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Solution

The fourth proportional to 10,223.96, 15,339.18 and 3,650 is: 5,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.96 : 15,339.18 = 3,650 : x
  2. Step 2: Convert to fraction form
    10,223.96/15,339.18 = 3,650/x
  3. Step 3: Cross multiply
    10,223.96x = 15,339.18 × 3,650
  4. Step 4: Simplify right side
    10,223.96x = 55,988,007
  5. Step 5: Solve for x
    x = 55,988,007/10,223.96
  6. Step 6: Final answer
    x = 5,476.16

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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.