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Finding the Fourth Proportional to 9,241.29, 12,752.34 and 5,834.33

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Solution

The fourth proportional to 9,241.29, 12,752.34 and 5,834.33 is: 8,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.29 : 12,752.34 = 5,834.33 : x
  2. Step 2: Convert to fraction form
    9,241.29/12,752.34 = 5,834.33/x
  3. Step 3: Cross multiply
    9,241.29x = 12,752.34 × 5,834.33
  4. Step 4: Simplify right side
    9,241.29x = 74,401,322.01
  5. Step 5: Solve for x
    x = 74,401,322.01/9,241.29
  6. Step 6: Final answer
    x = 8,050.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.