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Finding the Fourth Proportional to 37,908, 56,862 and 10,206

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Solution

The fourth proportional to 37,908, 56,862 and 10,206 is: 15,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,908 : 56,862 = 10,206 : x
  2. Step 2: Convert to fraction form
    37,908/56,862 = 10,206/x
  3. Step 3: Cross multiply
    37,908x = 56,862 × 10,206
  4. Step 4: Simplify right side
    37,908x = 580,333,572
  5. Step 5: Solve for x
    x = 580,333,572/37,908
  6. Step 6: Final answer
    x = 15,309

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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.