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Finding the Fourth Proportional to 6,574.62, 9,861.32 and 2,624.84

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Solution

The fourth proportional to 6,574.62, 9,861.32 and 2,624.84 is: 3,937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.62 : 9,861.32 = 2,624.84 : x
  2. Step 2: Convert to fraction form
    6,574.62/9,861.32 = 2,624.84/x
  3. Step 3: Cross multiply
    6,574.62x = 9,861.32 × 2,624.84
  4. Step 4: Simplify right side
    6,574.62x = 25,884,387.19
  5. Step 5: Solve for x
    x = 25,884,387.19/6,574.62
  6. Step 6: Final answer
    x = 3,937.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.