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Finding the Fourth Proportional to 7,293, 10,941.12 and 2,098.47

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Solution

The fourth proportional to 7,293, 10,941.12 and 2,098.47 is: 3,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293 : 10,941.12 = 2,098.47 : x
  2. Step 2: Convert to fraction form
    7,293/10,941.12 = 2,098.47/x
  3. Step 3: Cross multiply
    7,293x = 10,941.12 × 2,098.47
  4. Step 4: Simplify right side
    7,293x = 22,959,612.09
  5. Step 5: Solve for x
    x = 22,959,612.09/7,293
  6. Step 6: Final answer
    x = 3,148.17

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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.