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Finding the Fourth Proportional to 6,341.36, 9,501.96 and 2,640.56

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Solution

The fourth proportional to 6,341.36, 9,501.96 and 2,640.56 is: 3,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.36 : 9,501.96 = 2,640.56 : x
  2. Step 2: Convert to fraction form
    6,341.36/9,501.96 = 2,640.56/x
  3. Step 3: Cross multiply
    6,341.36x = 9,501.96 × 2,640.56
  4. Step 4: Simplify right side
    6,341.36x = 25,090,495.50
  5. Step 5: Solve for x
    x = 25,090,495.50/6,341.36
  6. Step 6: Final answer
    x = 3,956.64

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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.