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Finding the Fourth Proportional to 7,003.77, 10,505.67 and 5,766.22

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Solution

The fourth proportional to 7,003.77, 10,505.67 and 5,766.22 is: 8,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.77 : 10,505.67 = 5,766.22 : x
  2. Step 2: Convert to fraction form
    7,003.77/10,505.67 = 5,766.22/x
  3. Step 3: Cross multiply
    7,003.77x = 10,505.67 × 5,766.22
  4. Step 4: Simplify right side
    7,003.77x = 60,577,995.98
  5. Step 5: Solve for x
    x = 60,577,995.98/7,003.77
  6. Step 6: Final answer
    x = 8,649.35

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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.