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Finding the Fourth Proportional to 7,471.77, 10,310.63 and 4,114.45

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Solution

The fourth proportional to 7,471.77, 10,310.63 and 4,114.45 is: 5,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.77 : 10,310.63 = 4,114.45 : x
  2. Step 2: Convert to fraction form
    7,471.77/10,310.63 = 4,114.45/x
  3. Step 3: Cross multiply
    7,471.77x = 10,310.63 × 4,114.45
  4. Step 4: Simplify right side
    7,471.77x = 42,422,571.60
  5. Step 5: Solve for x
    x = 42,422,571.60/7,471.77
  6. Step 6: Final answer
    x = 5,677.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.