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Finding the Fourth Proportional to 7,849.27, 11,762.11 and 7,108.39

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Solution

The fourth proportional to 7,849.27, 11,762.11 and 7,108.39 is: 10,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.27 : 11,762.11 = 7,108.39 : x
  2. Step 2: Convert to fraction form
    7,849.27/11,762.11 = 7,108.39/x
  3. Step 3: Cross multiply
    7,849.27x = 11,762.11 × 7,108.39
  4. Step 4: Simplify right side
    7,849.27x = 83,609,665.10
  5. Step 5: Solve for x
    x = 83,609,665.10/7,849.27
  6. Step 6: Final answer
    x = 10,651.90

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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.