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Finding the Fourth Proportional to 10,269, 15,403.77 and 3,343.50

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Solution

The fourth proportional to 10,269, 15,403.77 and 3,343.50 is: 5,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269 : 15,403.77 = 3,343.50 : x
  2. Step 2: Convert to fraction form
    10,269/15,403.77 = 3,343.50/x
  3. Step 3: Cross multiply
    10,269x = 15,403.77 × 3,343.50
  4. Step 4: Simplify right side
    10,269x = 51,502,505.00
  5. Step 5: Solve for x
    x = 51,502,505.00/10,269
  6. Step 6: Final answer
    x = 5,015.34

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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.