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Finding the Fourth Proportional to 9,849.67, 14,759.91 and 8,107.06

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Solution

The fourth proportional to 9,849.67, 14,759.91 and 8,107.06 is: 12,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.67 : 14,759.91 = 8,107.06 : x
  2. Step 2: Convert to fraction form
    9,849.67/14,759.91 = 8,107.06/x
  3. Step 3: Cross multiply
    9,849.67x = 14,759.91 × 8,107.06
  4. Step 4: Simplify right side
    9,849.67x = 119,659,475.96
  5. Step 5: Solve for x
    x = 119,659,475.96/9,849.67
  6. Step 6: Final answer
    x = 12,148.58

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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.