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Finding the Fourth Proportional to 10,369.59, 15,556.58 and 3,350

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Solution

The fourth proportional to 10,369.59, 15,556.58 and 3,350 is: 5,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.59 : 15,556.58 = 3,350 : x
  2. Step 2: Convert to fraction form
    10,369.59/15,556.58 = 3,350/x
  3. Step 3: Cross multiply
    10,369.59x = 15,556.58 × 3,350
  4. Step 4: Simplify right side
    10,369.59x = 52,114,543
  5. Step 5: Solve for x
    x = 52,114,543/10,369.59
  6. Step 6: Final answer
    x = 5,025.71

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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.