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Finding the Fourth Proportional to 6,533.84, 9,010.55 and 5,039.39

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Solution

The fourth proportional to 6,533.84, 9,010.55 and 5,039.39 is: 6,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.84 : 9,010.55 = 5,039.39 : x
  2. Step 2: Convert to fraction form
    6,533.84/9,010.55 = 5,039.39/x
  3. Step 3: Cross multiply
    6,533.84x = 9,010.55 × 5,039.39
  4. Step 4: Simplify right side
    6,533.84x = 45,407,675.56
  5. Step 5: Solve for x
    x = 45,407,675.56/6,533.84
  6. Step 6: Final answer
    x = 6,949.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.