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Finding the Fourth Proportional to 7,833.57, 10,744.14 and 7,409.94

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Solution

The fourth proportional to 7,833.57, 10,744.14 and 7,409.94 is: 10,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.57 : 10,744.14 = 7,409.94 : x
  2. Step 2: Convert to fraction form
    7,833.57/10,744.14 = 7,409.94/x
  3. Step 3: Cross multiply
    7,833.57x = 10,744.14 × 7,409.94
  4. Step 4: Simplify right side
    7,833.57x = 79,613,432.75
  5. Step 5: Solve for x
    x = 79,613,432.75/7,833.57
  6. Step 6: Final answer
    x = 10,163.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.