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Finding the Fourth Proportional to 27,641.04, 41,461.55 and 6,864.54

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Solution

The fourth proportional to 27,641.04, 41,461.55 and 6,864.54 is: 10,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.04 : 41,461.55 = 6,864.54 : x
  2. Step 2: Convert to fraction form
    27,641.04/41,461.55 = 6,864.54/x
  3. Step 3: Cross multiply
    27,641.04x = 41,461.55 × 6,864.54
  4. Step 4: Simplify right side
    27,641.04x = 284,614,468.44
  5. Step 5: Solve for x
    x = 284,614,468.44/27,641.04
  6. Step 6: Final answer
    x = 10,296.81

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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.