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Finding the Fourth Proportional to 27,649.16, 41,466.39 and 7,922.42

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Solution

The fourth proportional to 27,649.16, 41,466.39 and 7,922.42 is: 11,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.16 : 41,466.39 = 7,922.42 : x
  2. Step 2: Convert to fraction form
    27,649.16/41,466.39 = 7,922.42/x
  3. Step 3: Cross multiply
    27,649.16x = 41,466.39 × 7,922.42
  4. Step 4: Simplify right side
    27,649.16x = 328,514,157.46
  5. Step 5: Solve for x
    x = 328,514,157.46/27,649.16
  6. Step 6: Final answer
    x = 11,881.52

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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.