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Finding the Fourth Proportional to 27,009.43, 40,514.14 and 7,287.98

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Solution

The fourth proportional to 27,009.43, 40,514.14 and 7,287.98 is: 10,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.43 : 40,514.14 = 7,287.98 : x
  2. Step 2: Convert to fraction form
    27,009.43/40,514.14 = 7,287.98/x
  3. Step 3: Cross multiply
    27,009.43x = 40,514.14 × 7,287.98
  4. Step 4: Simplify right side
    27,009.43x = 295,266,325.10
  5. Step 5: Solve for x
    x = 295,266,325.10/27,009.43
  6. Step 6: Final answer
    x = 10,931.97

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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.