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Finding the Fourth Proportional to 6,262.92, 8,642.83 and 3,430.30

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Solution

The fourth proportional to 6,262.92, 8,642.83 and 3,430.30 is: 4,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.92 : 8,642.83 = 3,430.30 : x
  2. Step 2: Convert to fraction form
    6,262.92/8,642.83 = 3,430.30/x
  3. Step 3: Cross multiply
    6,262.92x = 8,642.83 × 3,430.30
  4. Step 4: Simplify right side
    6,262.92x = 29,647,499.75
  5. Step 5: Solve for x
    x = 29,647,499.75/6,262.92
  6. Step 6: Final answer
    x = 4,733.81

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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.