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Finding the Fourth Proportional to 6,611.00, 9,916.74 and 2,452.05

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Solution

The fourth proportional to 6,611.00, 9,916.74 and 2,452.05 is: 3,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.00 : 9,916.74 = 2,452.05 : x
  2. Step 2: Convert to fraction form
    6,611.00/9,916.74 = 2,452.05/x
  3. Step 3: Cross multiply
    6,611.00x = 9,916.74 × 2,452.05
  4. Step 4: Simplify right side
    6,611.00x = 24,316,342.32
  5. Step 5: Solve for x
    x = 24,316,342.32/6,611.00
  6. Step 6: Final answer
    x = 3,678.17

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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.