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Finding the Fourth Proportional to 35,274, 52,911 and 10,650

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Solution

The fourth proportional to 35,274, 52,911 and 10,650 is: 15,975

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,274 : 52,911 = 10,650 : x
  2. Step 2: Convert to fraction form
    35,274/52,911 = 10,650/x
  3. Step 3: Cross multiply
    35,274x = 52,911 × 10,650
  4. Step 4: Simplify right side
    35,274x = 563,502,150
  5. Step 5: Solve for x
    x = 563,502,150/35,274
  6. Step 6: Final answer
    x = 15,975

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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.