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Finding the Fourth Proportional to 24,837, 37,257.66 and 6,369

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Solution

The fourth proportional to 24,837, 37,257.66 and 6,369 is: 9,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837 : 37,257.66 = 6,369 : x
  2. Step 2: Convert to fraction form
    24,837/37,257.66 = 6,369/x
  3. Step 3: Cross multiply
    24,837x = 37,257.66 × 6,369
  4. Step 4: Simplify right side
    24,837x = 237,294,036.54
  5. Step 5: Solve for x
    x = 237,294,036.54/24,837
  6. Step 6: Final answer
    x = 9,554.05

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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.