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Finding the Fourth Proportional to 6,598.56, 9,105.96 and 3,804

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Solution

The fourth proportional to 6,598.56, 9,105.96 and 3,804 is: 5,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.56 : 9,105.96 = 3,804 : x
  2. Step 2: Convert to fraction form
    6,598.56/9,105.96 = 3,804/x
  3. Step 3: Cross multiply
    6,598.56x = 9,105.96 × 3,804
  4. Step 4: Simplify right side
    6,598.56x = 34,639,071.84
  5. Step 5: Solve for x
    x = 34,639,071.84/6,598.56
  6. Step 6: Final answer
    x = 5,249.49

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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.