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Finding the Fourth Proportional to 14,838, 22,257 and 4,449.75

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Solution

The fourth proportional to 14,838, 22,257 and 4,449.75 is: 6,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 22,257 = 4,449.75 : x
  2. Step 2: Convert to fraction form
    14,838/22,257 = 4,449.75/x
  3. Step 3: Cross multiply
    14,838x = 22,257 × 4,449.75
  4. Step 4: Simplify right side
    14,838x = 99,038,085.75
  5. Step 5: Solve for x
    x = 99,038,085.75/14,838
  6. Step 6: Final answer
    x = 6,674.63

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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.