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Finding the Fourth Proportional to 14,174.52, 21,264.78 and 4,314.48

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Solution

The fourth proportional to 14,174.52, 21,264.78 and 4,314.48 is: 6,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.52 : 21,264.78 = 4,314.48 : x
  2. Step 2: Convert to fraction form
    14,174.52/21,264.78 = 4,314.48/x
  3. Step 3: Cross multiply
    14,174.52x = 21,264.78 × 4,314.48
  4. Step 4: Simplify right side
    14,174.52x = 91,746,468.01
  5. Step 5: Solve for x
    x = 91,746,468.01/14,174.52
  6. Step 6: Final answer
    x = 6,472.63

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1.5x scale

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.