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Finding the Fourth Proportional to 5,262.83, 7,262.86 and 3,025.14

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Solution

The fourth proportional to 5,262.83, 7,262.86 and 3,025.14 is: 4,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.83 : 7,262.86 = 3,025.14 : x
  2. Step 2: Convert to fraction form
    5,262.83/7,262.86 = 3,025.14/x
  3. Step 3: Cross multiply
    5,262.83x = 7,262.86 × 3,025.14
  4. Step 4: Simplify right side
    5,262.83x = 21,971,168.30
  5. Step 5: Solve for x
    x = 21,971,168.30/5,262.83
  6. Step 6: Final answer
    x = 4,174.78

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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.