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Finding the Fourth Proportional to 6,641.70, 9,968.69 and 3,357.10

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Solution

The fourth proportional to 6,641.70, 9,968.69 and 3,357.10 is: 5,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.70 : 9,968.69 = 3,357.10 : x
  2. Step 2: Convert to fraction form
    6,641.70/9,968.69 = 3,357.10/x
  3. Step 3: Cross multiply
    6,641.70x = 9,968.69 × 3,357.10
  4. Step 4: Simplify right side
    6,641.70x = 33,465,889.20
  5. Step 5: Solve for x
    x = 33,465,889.20/6,641.70
  6. Step 6: Final answer
    x = 5,038.75

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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.