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Finding the Fourth Proportional to 6,941.88, 10,404 and 4,997.88

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Solution

The fourth proportional to 6,941.88, 10,404 and 4,997.88 is: 7,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.88 : 10,404 = 4,997.88 : x
  2. Step 2: Convert to fraction form
    6,941.88/10,404 = 4,997.88/x
  3. Step 3: Cross multiply
    6,941.88x = 10,404 × 4,997.88
  4. Step 4: Simplify right side
    6,941.88x = 51,997,943.52
  5. Step 5: Solve for x
    x = 51,997,943.52/6,941.88
  6. Step 6: Final answer
    x = 7,490.47

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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.