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Finding the Fourth Proportional to 10,760, 16,140 and 3,464

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Solution

The fourth proportional to 10,760, 16,140 and 3,464 is: 5,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760 : 16,140 = 3,464 : x
  2. Step 2: Convert to fraction form
    10,760/16,140 = 3,464/x
  3. Step 3: Cross multiply
    10,760x = 16,140 × 3,464
  4. Step 4: Simplify right side
    10,760x = 55,908,960
  5. Step 5: Solve for x
    x = 55,908,960/10,760
  6. Step 6: Final answer
    x = 5,196

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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.