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Finding the Fourth Proportional to 27,641.70, 41,462.55 and 6,865.20

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Solution

The fourth proportional to 27,641.70, 41,462.55 and 6,865.20 is: 10,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.70 : 41,462.55 = 6,865.20 : x
  2. Step 2: Convert to fraction form
    27,641.70/41,462.55 = 6,865.20/x
  3. Step 3: Cross multiply
    27,641.70x = 41,462.55 × 6,865.20
  4. Step 4: Simplify right side
    27,641.70x = 284,648,698.26
  5. Step 5: Solve for x
    x = 284,648,698.26/27,641.70
  6. Step 6: Final answer
    x = 10,297.80

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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.