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Finding the Fourth Proportional to 7,446, 10,272.86 and 4,462.80

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Solution

The fourth proportional to 7,446, 10,272.86 and 4,462.80 is: 6,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446 : 10,272.86 = 4,462.80 : x
  2. Step 2: Convert to fraction form
    7,446/10,272.86 = 4,462.80/x
  3. Step 3: Cross multiply
    7,446x = 10,272.86 × 4,462.80
  4. Step 4: Simplify right side
    7,446x = 45,845,719.61
  5. Step 5: Solve for x
    x = 45,845,719.61/7,446
  6. Step 6: Final answer
    x = 6,157.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.