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Finding the Fourth Proportional to 22,641.10, 33,953.94 and 7,846.57

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Solution

The fourth proportional to 22,641.10, 33,953.94 and 7,846.57 is: 11,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.10 : 33,953.94 = 7,846.57 : x
  2. Step 2: Convert to fraction form
    22,641.10/33,953.94 = 7,846.57/x
  3. Step 3: Cross multiply
    22,641.10x = 33,953.94 × 7,846.57
  4. Step 4: Simplify right side
    22,641.10x = 266,421,797.22
  5. Step 5: Solve for x
    x = 266,421,797.22/22,641.10
  6. Step 6: Final answer
    x = 11,767.18

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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.