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Finding the Fourth Proportional to 6,404.16, 9,607.65 and 1,962.44

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Solution

The fourth proportional to 6,404.16, 9,607.65 and 1,962.44 is: 2,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.16 : 9,607.65 = 1,962.44 : x
  2. Step 2: Convert to fraction form
    6,404.16/9,607.65 = 1,962.44/x
  3. Step 3: Cross multiply
    6,404.16x = 9,607.65 × 1,962.44
  4. Step 4: Simplify right side
    6,404.16x = 18,854,406.83
  5. Step 5: Solve for x
    x = 18,854,406.83/6,404.16
  6. Step 6: Final answer
    x = 2,944.09

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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.