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Finding the Fourth Proportional to 7,348.06, 11,022 and 1,801.42

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Solution

The fourth proportional to 7,348.06, 11,022 and 1,801.42 is: 2,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.06 : 11,022 = 1,801.42 : x
  2. Step 2: Convert to fraction form
    7,348.06/11,022 = 1,801.42/x
  3. Step 3: Cross multiply
    7,348.06x = 11,022 × 1,801.42
  4. Step 4: Simplify right side
    7,348.06x = 19,855,251.24
  5. Step 5: Solve for x
    x = 19,855,251.24/7,348.06
  6. Step 6: Final answer
    x = 2,702.11

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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.