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Finding the Fourth Proportional to 4,835.64, 7,257.14 and 3,191.64

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Solution

The fourth proportional to 4,835.64, 7,257.14 and 3,191.64 is: 4,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.64 : 7,257.14 = 3,191.64 : x
  2. Step 2: Convert to fraction form
    4,835.64/7,257.14 = 3,191.64/x
  3. Step 3: Cross multiply
    4,835.64x = 7,257.14 × 3,191.64
  4. Step 4: Simplify right side
    4,835.64x = 23,162,178.31
  5. Step 5: Solve for x
    x = 23,162,178.31/4,835.64
  6. Step 6: Final answer
    x = 4,789.89

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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.