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Finding the Fourth Proportional to 7,021.67, 9,689.64 and 3,834.86

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Solution

The fourth proportional to 7,021.67, 9,689.64 and 3,834.86 is: 5,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.67 : 9,689.64 = 3,834.86 : x
  2. Step 2: Convert to fraction form
    7,021.67/9,689.64 = 3,834.86/x
  3. Step 3: Cross multiply
    7,021.67x = 9,689.64 × 3,834.86
  4. Step 4: Simplify right side
    7,021.67x = 37,158,412.85
  5. Step 5: Solve for x
    x = 37,158,412.85/7,021.67
  6. Step 6: Final answer
    x = 5,291.96

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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.