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Finding the Fourth Proportional to 6,308.40, 9,462.50 and 1,691.40

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Solution

The fourth proportional to 6,308.40, 9,462.50 and 1,691.40 is: 2,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.40 : 9,462.50 = 1,691.40 : x
  2. Step 2: Convert to fraction form
    6,308.40/9,462.50 = 1,691.40/x
  3. Step 3: Cross multiply
    6,308.40x = 9,462.50 × 1,691.40
  4. Step 4: Simplify right side
    6,308.40x = 16,004,872.50
  5. Step 5: Solve for x
    x = 16,004,872.50/6,308.40
  6. Step 6: Final answer
    x = 2,537.07

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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.