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Finding the Fourth Proportional to 6,274.59, 9,399.12 and 5,035.29

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Solution

The fourth proportional to 6,274.59, 9,399.12 and 5,035.29 is: 7,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.59 : 9,399.12 = 5,035.29 : x
  2. Step 2: Convert to fraction form
    6,274.59/9,399.12 = 5,035.29/x
  3. Step 3: Cross multiply
    6,274.59x = 9,399.12 × 5,035.29
  4. Step 4: Simplify right side
    6,274.59x = 47,327,294.94
  5. Step 5: Solve for x
    x = 47,327,294.94/6,274.59
  6. Step 6: Final answer
    x = 7,542.69

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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.