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Finding the Fourth Proportional to 8,188.77, 11,297.50 and 4,649.92

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Solution

The fourth proportional to 8,188.77, 11,297.50 and 4,649.92 is: 6,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.77 : 11,297.50 = 4,649.92 : x
  2. Step 2: Convert to fraction form
    8,188.77/11,297.50 = 4,649.92/x
  3. Step 3: Cross multiply
    8,188.77x = 11,297.50 × 4,649.92
  4. Step 4: Simplify right side
    8,188.77x = 52,532,471.20
  5. Step 5: Solve for x
    x = 52,532,471.20/8,188.77
  6. Step 6: Final answer
    x = 6,415.18

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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.