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Finding the Fourth Proportional to 6,425.50, 9,624.57 and 3,088.86

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Solution

The fourth proportional to 6,425.50, 9,624.57 and 3,088.86 is: 4,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.50 : 9,624.57 = 3,088.86 : x
  2. Step 2: Convert to fraction form
    6,425.50/9,624.57 = 3,088.86/x
  3. Step 3: Cross multiply
    6,425.50x = 9,624.57 × 3,088.86
  4. Step 4: Simplify right side
    6,425.50x = 29,728,885.72
  5. Step 5: Solve for x
    x = 29,728,885.72/6,425.50
  6. Step 6: Final answer
    x = 4,626.71

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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.