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Finding the Fourth Proportional to 4,827.76, 7,241.54 and 1,540.79

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Solution

The fourth proportional to 4,827.76, 7,241.54 and 1,540.79 is: 2,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.76 : 7,241.54 = 1,540.79 : x
  2. Step 2: Convert to fraction form
    4,827.76/7,241.54 = 1,540.79/x
  3. Step 3: Cross multiply
    4,827.76x = 7,241.54 × 1,540.79
  4. Step 4: Simplify right side
    4,827.76x = 11,157,716.39
  5. Step 5: Solve for x
    x = 11,157,716.39/4,827.76
  6. Step 6: Final answer
    x = 2,311.16

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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.