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Finding the Fourth Proportional to 27,785.96, 41,680.38 and 7,009.64

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Solution

The fourth proportional to 27,785.96, 41,680.38 and 7,009.64 is: 10,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.96 : 41,680.38 = 7,009.64 : x
  2. Step 2: Convert to fraction form
    27,785.96/41,680.38 = 7,009.64/x
  3. Step 3: Cross multiply
    27,785.96x = 41,680.38 × 7,009.64
  4. Step 4: Simplify right side
    27,785.96x = 292,164,458.86
  5. Step 5: Solve for x
    x = 292,164,458.86/27,785.96
  6. Step 6: Final answer
    x = 10,514.82

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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.