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Finding the Fourth Proportional to 6,404.94, 9,610.02 and 3,283.38

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Solution

The fourth proportional to 6,404.94, 9,610.02 and 3,283.38 is: 4,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.94 : 9,610.02 = 3,283.38 : x
  2. Step 2: Convert to fraction form
    6,404.94/9,610.02 = 3,283.38/x
  3. Step 3: Cross multiply
    6,404.94x = 9,610.02 × 3,283.38
  4. Step 4: Simplify right side
    6,404.94x = 31,553,347.47
  5. Step 5: Solve for x
    x = 31,553,347.47/6,404.94
  6. Step 6: Final answer
    x = 4,926.41

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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.