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Finding the Fourth Proportional to 27,773.40, 41,645.70 and 10,234.20

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Solution

The fourth proportional to 27,773.40, 41,645.70 and 10,234.20 is: 15,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.40 : 41,645.70 = 10,234.20 : x
  2. Step 2: Convert to fraction form
    27,773.40/41,645.70 = 10,234.20/x
  3. Step 3: Cross multiply
    27,773.40x = 41,645.70 × 10,234.20
  4. Step 4: Simplify right side
    27,773.40x = 426,210,422.94
  5. Step 5: Solve for x
    x = 426,210,422.94/27,773.40
  6. Step 6: Final answer
    x = 15,345.99

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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.