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Finding the Fourth Proportional to 7,510, 11,265.04 and 2,038

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Solution

The fourth proportional to 7,510, 11,265.04 and 2,038 is: 3,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510 : 11,265.04 = 2,038 : x
  2. Step 2: Convert to fraction form
    7,510/11,265.04 = 2,038/x
  3. Step 3: Cross multiply
    7,510x = 11,265.04 × 2,038
  4. Step 4: Simplify right side
    7,510x = 22,958,151.52
  5. Step 5: Solve for x
    x = 22,958,151.52/7,510
  6. Step 6: Final answer
    x = 3,057.01

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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.