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Finding the Fourth Proportional to 11,802.14, 17,695.02 and 5,224.74

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Solution

The fourth proportional to 11,802.14, 17,695.02 and 5,224.74 is: 7,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.14 : 17,695.02 = 5,224.74 : x
  2. Step 2: Convert to fraction form
    11,802.14/17,695.02 = 5,224.74/x
  3. Step 3: Cross multiply
    11,802.14x = 17,695.02 × 5,224.74
  4. Step 4: Simplify right side
    11,802.14x = 92,451,878.79
  5. Step 5: Solve for x
    x = 92,451,878.79/11,802.14
  6. Step 6: Final answer
    x = 7,833.48

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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.