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Finding the Fourth Proportional to 7,765.64, 10,716.22 and 4,228.84

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Solution

The fourth proportional to 7,765.64, 10,716.22 and 4,228.84 is: 5,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.64 : 10,716.22 = 4,228.84 : x
  2. Step 2: Convert to fraction form
    7,765.64/10,716.22 = 4,228.84/x
  3. Step 3: Cross multiply
    7,765.64x = 10,716.22 × 4,228.84
  4. Step 4: Simplify right side
    7,765.64x = 45,317,179.78
  5. Step 5: Solve for x
    x = 45,317,179.78/7,765.64
  6. Step 6: Final answer
    x = 5,835.60

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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.