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Finding the Fourth Proportional to 8,185.84, 11,296.32 and 4,649

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Solution

The fourth proportional to 8,185.84, 11,296.32 and 4,649 is: 6,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.84 : 11,296.32 = 4,649 : x
  2. Step 2: Convert to fraction form
    8,185.84/11,296.32 = 4,649/x
  3. Step 3: Cross multiply
    8,185.84x = 11,296.32 × 4,649
  4. Step 4: Simplify right side
    8,185.84x = 52,516,591.68
  5. Step 5: Solve for x
    x = 52,516,591.68/8,185.84
  6. Step 6: Final answer
    x = 6,415.54

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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.