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Finding the Fourth Proportional to 22,757.25, 34,141.64 and 6,341.25

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Solution

The fourth proportional to 22,757.25, 34,141.64 and 6,341.25 is: 9,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.25 : 34,141.64 = 6,341.25 : x
  2. Step 2: Convert to fraction form
    22,757.25/34,141.64 = 6,341.25/x
  3. Step 3: Cross multiply
    22,757.25x = 34,141.64 × 6,341.25
  4. Step 4: Simplify right side
    22,757.25x = 216,500,642.94
  5. Step 5: Solve for x
    x = 216,500,642.94/22,757.25
  6. Step 6: Final answer
    x = 9,513.48

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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.