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Finding the Fourth Proportional to 22,314.69, 33,472.15 and 7,523.74

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Solution

The fourth proportional to 22,314.69, 33,472.15 and 7,523.74 is: 11,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.69 : 33,472.15 = 7,523.74 : x
  2. Step 2: Convert to fraction form
    22,314.69/33,472.15 = 7,523.74/x
  3. Step 3: Cross multiply
    22,314.69x = 33,472.15 × 7,523.74
  4. Step 4: Simplify right side
    22,314.69x = 251,835,599.17
  5. Step 5: Solve for x
    x = 251,835,599.17/22,314.69
  6. Step 6: Final answer
    x = 11,285.64

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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.