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Finding the Fourth Proportional to 8,188.92, 11,300.67 and 4,652.64

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Solution

The fourth proportional to 8,188.92, 11,300.67 and 4,652.64 is: 6,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.92 : 11,300.67 = 4,652.64 : x
  2. Step 2: Convert to fraction form
    8,188.92/11,300.67 = 4,652.64/x
  3. Step 3: Cross multiply
    8,188.92x = 11,300.67 × 4,652.64
  4. Step 4: Simplify right side
    8,188.92x = 52,577,949.27
  5. Step 5: Solve for x
    x = 52,577,949.27/8,188.92
  6. Step 6: Final answer
    x = 6,420.62

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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.