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Finding the Fourth Proportional to 6,595.77, 9,914.01 and 4,418.49

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Solution

The fourth proportional to 6,595.77, 9,914.01 and 4,418.49 is: 6,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.77 : 9,914.01 = 4,418.49 : x
  2. Step 2: Convert to fraction form
    6,595.77/9,914.01 = 4,418.49/x
  3. Step 3: Cross multiply
    6,595.77x = 9,914.01 × 4,418.49
  4. Step 4: Simplify right side
    6,595.77x = 43,804,954.04
  5. Step 5: Solve for x
    x = 43,804,954.04/6,595.77
  6. Step 6: Final answer
    x = 6,641.37

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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.