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Finding the Fourth Proportional to 4,741.48, 7,112.22 and 1,662.76

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Solution

The fourth proportional to 4,741.48, 7,112.22 and 1,662.76 is: 2,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.48 : 7,112.22 = 1,662.76 : x
  2. Step 2: Convert to fraction form
    4,741.48/7,112.22 = 1,662.76/x
  3. Step 3: Cross multiply
    4,741.48x = 7,112.22 × 1,662.76
  4. Step 4: Simplify right side
    4,741.48x = 11,825,914.93
  5. Step 5: Solve for x
    x = 11,825,914.93/4,741.48
  6. Step 6: Final answer
    x = 2,494.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.