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Finding the Fourth Proportional to 11,354, 16,998 and 6,958

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Solution

The fourth proportional to 11,354, 16,998 and 6,958 is: 10,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354 : 16,998 = 6,958 : x
  2. Step 2: Convert to fraction form
    11,354/16,998 = 6,958/x
  3. Step 3: Cross multiply
    11,354x = 16,998 × 6,958
  4. Step 4: Simplify right side
    11,354x = 118,272,084
  5. Step 5: Solve for x
    x = 118,272,084/11,354
  6. Step 6: Final answer
    x = 10,416.78

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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.