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Finding the Fourth Proportional to 8,266, 11,407.08 and 4,540.24

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Solution

The fourth proportional to 8,266, 11,407.08 and 4,540.24 is: 6,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 11,407.08 = 4,540.24 : x
  2. Step 2: Convert to fraction form
    8,266/11,407.08 = 4,540.24/x
  3. Step 3: Cross multiply
    8,266x = 11,407.08 × 4,540.24
  4. Step 4: Simplify right side
    8,266x = 51,790,880.90
  5. Step 5: Solve for x
    x = 51,790,880.90/8,266
  6. Step 6: Final answer
    x = 6,265.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.