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Finding the Fourth Proportional to 22,742.24, 34,118.22 and 7,951.64

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Solution

The fourth proportional to 22,742.24, 34,118.22 and 7,951.64 is: 11,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.24 : 34,118.22 = 7,951.64 : x
  2. Step 2: Convert to fraction form
    22,742.24/34,118.22 = 7,951.64/x
  3. Step 3: Cross multiply
    22,742.24x = 34,118.22 × 7,951.64
  4. Step 4: Simplify right side
    22,742.24x = 271,295,802.88
  5. Step 5: Solve for x
    x = 271,295,802.88/22,742.24
  6. Step 6: Final answer
    x = 11,929.16

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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.