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Finding the Fourth Proportional to 27,641.35, 41,454.42 and 7,646.05

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Solution

The fourth proportional to 27,641.35, 41,454.42 and 7,646.05 is: 11,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.35 : 41,454.42 = 7,646.05 : x
  2. Step 2: Convert to fraction form
    27,641.35/41,454.42 = 7,646.05/x
  3. Step 3: Cross multiply
    27,641.35x = 41,454.42 × 7,646.05
  4. Step 4: Simplify right side
    27,641.35x = 316,962,568.04
  5. Step 5: Solve for x
    x = 316,962,568.04/27,641.35
  6. Step 6: Final answer
    x = 11,466.97

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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.