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Finding the Fourth Proportional to 6,402.92, 9,605.99 and 2,703.24

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Solution

The fourth proportional to 6,402.92, 9,605.99 and 2,703.24 is: 4,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.92 : 9,605.99 = 2,703.24 : x
  2. Step 2: Convert to fraction form
    6,402.92/9,605.99 = 2,703.24/x
  3. Step 3: Cross multiply
    6,402.92x = 9,605.99 × 2,703.24
  4. Step 4: Simplify right side
    6,402.92x = 25,967,303.17
  5. Step 5: Solve for x
    x = 25,967,303.17/6,402.92
  6. Step 6: Final answer
    x = 4,055.54

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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.