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Finding the Fourth Proportional to 6,441.92, 9,663.52 and 1,762.21

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Solution

The fourth proportional to 6,441.92, 9,663.52 and 1,762.21 is: 2,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.92 : 9,663.52 = 1,762.21 : x
  2. Step 2: Convert to fraction form
    6,441.92/9,663.52 = 1,762.21/x
  3. Step 3: Cross multiply
    6,441.92x = 9,663.52 × 1,762.21
  4. Step 4: Simplify right side
    6,441.92x = 17,029,151.58
  5. Step 5: Solve for x
    x = 17,029,151.58/6,441.92
  6. Step 6: Final answer
    x = 2,643.49

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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.