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Finding the Fourth Proportional to 7,476.50, 11,214.75 and 2,004.50

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Solution

The fourth proportional to 7,476.50, 11,214.75 and 2,004.50 is: 3,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.50 : 11,214.75 = 2,004.50 : x
  2. Step 2: Convert to fraction form
    7,476.50/11,214.75 = 2,004.50/x
  3. Step 3: Cross multiply
    7,476.50x = 11,214.75 × 2,004.50
  4. Step 4: Simplify right side
    7,476.50x = 22,479,966.38
  5. Step 5: Solve for x
    x = 22,479,966.38/7,476.50
  6. Step 6: Final answer
    x = 3,006.75

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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.