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Finding the Fourth Proportional to 24,966, 37,449 and 6,498

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Solution

The fourth proportional to 24,966, 37,449 and 6,498 is: 9,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966 : 37,449 = 6,498 : x
  2. Step 2: Convert to fraction form
    24,966/37,449 = 6,498/x
  3. Step 3: Cross multiply
    24,966x = 37,449 × 6,498
  4. Step 4: Simplify right side
    24,966x = 243,343,602
  5. Step 5: Solve for x
    x = 243,343,602/24,966
  6. Step 6: Final answer
    x = 9,747

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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.