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Finding the Fourth Proportional to 4,493.96, 6,741.48 and 1,532.90

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Solution

The fourth proportional to 4,493.96, 6,741.48 and 1,532.90 is: 2,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.96 : 6,741.48 = 1,532.90 : x
  2. Step 2: Convert to fraction form
    4,493.96/6,741.48 = 1,532.90/x
  3. Step 3: Cross multiply
    4,493.96x = 6,741.48 × 1,532.90
  4. Step 4: Simplify right side
    4,493.96x = 10,334,014.69
  5. Step 5: Solve for x
    x = 10,334,014.69/4,493.96
  6. Step 6: Final answer
    x = 2,299.53

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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.