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Finding the Fourth Proportional to 35,272, 52,908 and 10,648

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Solution

The fourth proportional to 35,272, 52,908 and 10,648 is: 15,972

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,272 : 52,908 = 10,648 : x
  2. Step 2: Convert to fraction form
    35,272/52,908 = 10,648/x
  3. Step 3: Cross multiply
    35,272x = 52,908 × 10,648
  4. Step 4: Simplify right side
    35,272x = 563,364,384
  5. Step 5: Solve for x
    x = 563,364,384/35,272
  6. Step 6: Final answer
    x = 15,972

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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.