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Finding the Fourth Proportional to 4,591.25, 6,917.74 and 4,153

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Solution

The fourth proportional to 4,591.25, 6,917.74 and 4,153 is: 6,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.25 : 6,917.74 = 4,153 : x
  2. Step 2: Convert to fraction form
    4,591.25/6,917.74 = 4,153/x
  3. Step 3: Cross multiply
    4,591.25x = 6,917.74 × 4,153
  4. Step 4: Simplify right side
    4,591.25x = 28,729,374.22
  5. Step 5: Solve for x
    x = 28,729,374.22/4,591.25
  6. Step 6: Final answer
    x = 6,257.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.