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Finding the Fourth Proportional to 6,468.96, 9,703.52 and 1,852

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Solution

The fourth proportional to 6,468.96, 9,703.52 and 1,852 is: 2,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.96 : 9,703.52 = 1,852 : x
  2. Step 2: Convert to fraction form
    6,468.96/9,703.52 = 1,852/x
  3. Step 3: Cross multiply
    6,468.96x = 9,703.52 × 1,852
  4. Step 4: Simplify right side
    6,468.96x = 17,970,919.04
  5. Step 5: Solve for x
    x = 17,970,919.04/6,468.96
  6. Step 6: Final answer
    x = 2,778.02

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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.