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Finding the Fourth Proportional to 6,323.22, 9,471.60 and 5,083.92

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Solution

The fourth proportional to 6,323.22, 9,471.60 and 5,083.92 is: 7,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.22 : 9,471.60 = 5,083.92 : x
  2. Step 2: Convert to fraction form
    6,323.22/9,471.60 = 5,083.92/x
  3. Step 3: Cross multiply
    6,323.22x = 9,471.60 × 5,083.92
  4. Step 4: Simplify right side
    6,323.22x = 48,152,856.67
  5. Step 5: Solve for x
    x = 48,152,856.67/6,323.22
  6. Step 6: Final answer
    x = 7,615.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.