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Finding the Fourth Proportional to 6,402.69, 9,604.01 and 2,504.36

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Solution

The fourth proportional to 6,402.69, 9,604.01 and 2,504.36 is: 3,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.69 : 9,604.01 = 2,504.36 : x
  2. Step 2: Convert to fraction form
    6,402.69/9,604.01 = 2,504.36/x
  3. Step 3: Cross multiply
    6,402.69x = 9,604.01 × 2,504.36
  4. Step 4: Simplify right side
    6,402.69x = 24,051,850.46
  5. Step 5: Solve for x
    x = 24,051,850.46/6,402.69
  6. Step 6: Final answer
    x = 3,756.53

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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.