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Finding the Fourth Proportional to 14,710.25, 22,065.38 and 4,322

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Solution

The fourth proportional to 14,710.25, 22,065.38 and 4,322 is: 6,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.25 : 22,065.38 = 4,322 : x
  2. Step 2: Convert to fraction form
    14,710.25/22,065.38 = 4,322/x
  3. Step 3: Cross multiply
    14,710.25x = 22,065.38 × 4,322
  4. Step 4: Simplify right side
    14,710.25x = 95,366,550.75
  5. Step 5: Solve for x
    x = 95,366,550.75/14,710.25
  6. Step 6: Final answer
    x = 6,483

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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.