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Finding the Fourth Proportional to 6,416.92, 8,855.32 and 3,764.40

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Solution

The fourth proportional to 6,416.92, 8,855.32 and 3,764.40 is: 5,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.92 : 8,855.32 = 3,764.40 : x
  2. Step 2: Convert to fraction form
    6,416.92/8,855.32 = 3,764.40/x
  3. Step 3: Cross multiply
    6,416.92x = 8,855.32 × 3,764.40
  4. Step 4: Simplify right side
    6,416.92x = 33,334,966.61
  5. Step 5: Solve for x
    x = 33,334,966.61/6,416.92
  6. Step 6: Final answer
    x = 5,194.85

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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.