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Finding the Fourth Proportional to 8,464.40, 12,698.07 and 3,537.50

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Solution

The fourth proportional to 8,464.40, 12,698.07 and 3,537.50 is: 5,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.40 : 12,698.07 = 3,537.50 : x
  2. Step 2: Convert to fraction form
    8,464.40/12,698.07 = 3,537.50/x
  3. Step 3: Cross multiply
    8,464.40x = 12,698.07 × 3,537.50
  4. Step 4: Simplify right side
    8,464.40x = 44,919,404.94
  5. Step 5: Solve for x
    x = 44,919,404.94/8,464.40
  6. Step 6: Final answer
    x = 5,306.87

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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.