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Finding the Fourth Proportional to 10,776, 16,164 and 3,480

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Solution

The fourth proportional to 10,776, 16,164 and 3,480 is: 5,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776 : 16,164 = 3,480 : x
  2. Step 2: Convert to fraction form
    10,776/16,164 = 3,480/x
  3. Step 3: Cross multiply
    10,776x = 16,164 × 3,480
  4. Step 4: Simplify right side
    10,776x = 56,250,720
  5. Step 5: Solve for x
    x = 56,250,720/10,776
  6. Step 6: Final answer
    x = 5,220

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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.