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Finding the Fourth Proportional to 11,716, 17,574 and 3,508

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Solution

The fourth proportional to 11,716, 17,574 and 3,508 is: 5,262

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 17,574 = 3,508 : x
  2. Step 2: Convert to fraction form
    11,716/17,574 = 3,508/x
  3. Step 3: Cross multiply
    11,716x = 17,574 × 3,508
  4. Step 4: Simplify right side
    11,716x = 61,649,592
  5. Step 5: Solve for x
    x = 61,649,592/11,716
  6. Step 6: Final answer
    x = 5,262

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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.