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Finding the Fourth Proportional to 9,167.99, 13,709.96 and 6,829.61

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Solution

The fourth proportional to 9,167.99, 13,709.96 and 6,829.61 is: 10,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.99 : 13,709.96 = 6,829.61 : x
  2. Step 2: Convert to fraction form
    9,167.99/13,709.96 = 6,829.61/x
  3. Step 3: Cross multiply
    9,167.99x = 13,709.96 × 6,829.61
  4. Step 4: Simplify right side
    9,167.99x = 93,633,577.22
  5. Step 5: Solve for x
    x = 93,633,577.22/9,167.99
  6. Step 6: Final answer
    x = 10,213.10

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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.