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Finding the Fourth Proportional to 14,690, 22,035 and 3,746

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Solution

The fourth proportional to 14,690, 22,035 and 3,746 is: 5,619

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690 : 22,035 = 3,746 : x
  2. Step 2: Convert to fraction form
    14,690/22,035 = 3,746/x
  3. Step 3: Cross multiply
    14,690x = 22,035 × 3,746
  4. Step 4: Simplify right side
    14,690x = 82,543,110
  5. Step 5: Solve for x
    x = 82,543,110/14,690
  6. Step 6: Final answer
    x = 5,619

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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.