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Finding the Fourth Proportional to 27,805.70, 41,708.55 and 7,029.20

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Solution

The fourth proportional to 27,805.70, 41,708.55 and 7,029.20 is: 10,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.70 : 41,708.55 = 7,029.20 : x
  2. Step 2: Convert to fraction form
    27,805.70/41,708.55 = 7,029.20/x
  3. Step 3: Cross multiply
    27,805.70x = 41,708.55 × 7,029.20
  4. Step 4: Simplify right side
    27,805.70x = 293,177,739.66
  5. Step 5: Solve for x
    x = 293,177,739.66/27,805.70
  6. Step 6: Final answer
    x = 10,543.80

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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.