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Finding the Fourth Proportional to 4,922.60, 7,383.90 and 4,709.30

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Solution

The fourth proportional to 4,922.60, 7,383.90 and 4,709.30 is: 7,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.60 : 7,383.90 = 4,709.30 : x
  2. Step 2: Convert to fraction form
    4,922.60/7,383.90 = 4,709.30/x
  3. Step 3: Cross multiply
    4,922.60x = 7,383.90 × 4,709.30
  4. Step 4: Simplify right side
    4,922.60x = 34,773,000.27
  5. Step 5: Solve for x
    x = 34,773,000.27/4,922.60
  6. Step 6: Final answer
    x = 7,063.95

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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.