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Finding the Fourth Proportional to 8,241.75, 11,372.93 and 4,657.02

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Solution

The fourth proportional to 8,241.75, 11,372.93 and 4,657.02 is: 6,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 11,372.93 = 4,657.02 : x
  2. Step 2: Convert to fraction form
    8,241.75/11,372.93 = 4,657.02/x
  3. Step 3: Cross multiply
    8,241.75x = 11,372.93 × 4,657.02
  4. Step 4: Simplify right side
    8,241.75x = 52,963,914.00
  5. Step 5: Solve for x
    x = 52,963,914.00/8,241.75
  6. Step 6: Final answer
    x = 6,426.29

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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.