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Finding the Fourth Proportional to 9,609.12, 14,408.82 and 6,834.06

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Solution

The fourth proportional to 9,609.12, 14,408.82 and 6,834.06 is: 10,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.12 : 14,408.82 = 6,834.06 : x
  2. Step 2: Convert to fraction form
    9,609.12/14,408.82 = 6,834.06/x
  3. Step 3: Cross multiply
    9,609.12x = 14,408.82 × 6,834.06
  4. Step 4: Simplify right side
    9,609.12x = 98,470,740.41
  5. Step 5: Solve for x
    x = 98,470,740.41/9,609.12
  6. Step 6: Final answer
    x = 10,247.63

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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.