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Finding the Fourth Proportional to 5,628.75, 7,762.62 and 4,687.66

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Solution

The fourth proportional to 5,628.75, 7,762.62 and 4,687.66 is: 6,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.75 : 7,762.62 = 4,687.66 : x
  2. Step 2: Convert to fraction form
    5,628.75/7,762.62 = 4,687.66/x
  3. Step 3: Cross multiply
    5,628.75x = 7,762.62 × 4,687.66
  4. Step 4: Simplify right side
    5,628.75x = 36,388,523.27
  5. Step 5: Solve for x
    x = 36,388,523.27/5,628.75
  6. Step 6: Final answer
    x = 6,464.76

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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.