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Finding the Fourth Proportional to 5,224.75, 7,865.63 and 4,765.48

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Solution

The fourth proportional to 5,224.75, 7,865.63 and 4,765.48 is: 7,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.75 : 7,865.63 = 4,765.48 : x
  2. Step 2: Convert to fraction form
    5,224.75/7,865.63 = 4,765.48/x
  3. Step 3: Cross multiply
    5,224.75x = 7,865.63 × 4,765.48
  4. Step 4: Simplify right side
    5,224.75x = 37,483,458.96
  5. Step 5: Solve for x
    x = 37,483,458.96/5,224.75
  6. Step 6: Final answer
    x = 7,174.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.