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Finding the Fourth Proportional to 22,742.76, 34,118.73 and 7,156.74

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Solution

The fourth proportional to 22,742.76, 34,118.73 and 7,156.74 is: 10,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.76 : 34,118.73 = 7,156.74 : x
  2. Step 2: Convert to fraction form
    22,742.76/34,118.73 = 7,156.74/x
  3. Step 3: Cross multiply
    22,742.76x = 34,118.73 × 7,156.74
  4. Step 4: Simplify right side
    22,742.76x = 244,178,879.74
  5. Step 5: Solve for x
    x = 244,178,879.74/22,742.76
  6. Step 6: Final answer
    x = 10,736.55

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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.