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Finding the Fourth Proportional to 6,402.73, 9,605.40 and 3,630.64

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Solution

The fourth proportional to 6,402.73, 9,605.40 and 3,630.64 is: 5,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.73 : 9,605.40 = 3,630.64 : x
  2. Step 2: Convert to fraction form
    6,402.73/9,605.40 = 3,630.64/x
  3. Step 3: Cross multiply
    6,402.73x = 9,605.40 × 3,630.64
  4. Step 4: Simplify right side
    6,402.73x = 34,873,749.46
  5. Step 5: Solve for x
    x = 34,873,749.46/6,402.73
  6. Step 6: Final answer
    x = 5,446.70

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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.