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Finding the Fourth Proportional to 24,815, 37,222.77 and 6,347

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Solution

The fourth proportional to 24,815, 37,222.77 and 6,347 is: 9,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815 : 37,222.77 = 6,347 : x
  2. Step 2: Convert to fraction form
    24,815/37,222.77 = 6,347/x
  3. Step 3: Cross multiply
    24,815x = 37,222.77 × 6,347
  4. Step 4: Simplify right side
    24,815x = 236,252,921.19
  5. Step 5: Solve for x
    x = 236,252,921.19/24,815
  6. Step 6: Final answer
    x = 9,520.57

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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.