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Finding the Fourth Proportional to 4,193.60, 6,257.60 and 4,164.80

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Solution

The fourth proportional to 4,193.60, 6,257.60 and 4,164.80 is: 6,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.60 : 6,257.60 = 4,164.80 : x
  2. Step 2: Convert to fraction form
    4,193.60/6,257.60 = 4,164.80/x
  3. Step 3: Cross multiply
    4,193.60x = 6,257.60 × 4,164.80
  4. Step 4: Simplify right side
    4,193.60x = 26,061,652.48
  5. Step 5: Solve for x
    x = 26,061,652.48/4,193.60
  6. Step 6: Final answer
    x = 6,214.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.