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Finding the Fourth Proportional to 37,598, 56,397 and 12,974

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Solution

The fourth proportional to 37,598, 56,397 and 12,974 is: 19,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,598 : 56,397 = 12,974 : x
  2. Step 2: Convert to fraction form
    37,598/56,397 = 12,974/x
  3. Step 3: Cross multiply
    37,598x = 56,397 × 12,974
  4. Step 4: Simplify right side
    37,598x = 731,694,678
  5. Step 5: Solve for x
    x = 731,694,678/37,598
  6. Step 6: Final answer
    x = 19,461

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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.