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Finding the Fourth Proportional to 7,765.49, 10,716.83 and 5,847.88

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Solution

The fourth proportional to 7,765.49, 10,716.83 and 5,847.88 is: 8,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.49 : 10,716.83 = 5,847.88 : x
  2. Step 2: Convert to fraction form
    7,765.49/10,716.83 = 5,847.88/x
  3. Step 3: Cross multiply
    7,765.49x = 10,716.83 × 5,847.88
  4. Step 4: Simplify right side
    7,765.49x = 62,670,738.26
  5. Step 5: Solve for x
    x = 62,670,738.26/7,765.49
  6. Step 6: Final answer
    x = 8,070.41

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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.