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Finding the Fourth Proportional to 7,705.80, 11,540.88 and 4,775.22

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Solution

The fourth proportional to 7,705.80, 11,540.88 and 4,775.22 is: 7,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.80 : 11,540.88 = 4,775.22 : x
  2. Step 2: Convert to fraction form
    7,705.80/11,540.88 = 4,775.22/x
  3. Step 3: Cross multiply
    7,705.80x = 11,540.88 × 4,775.22
  4. Step 4: Simplify right side
    7,705.80x = 55,110,240.99
  5. Step 5: Solve for x
    x = 55,110,240.99/7,705.80
  6. Step 6: Final answer
    x = 7,151.79

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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.