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Finding the Fourth Proportional to 8,609.89, 11,872.14 and 5,952.68

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Solution

The fourth proportional to 8,609.89, 11,872.14 and 5,952.68 is: 8,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.89 : 11,872.14 = 5,952.68 : x
  2. Step 2: Convert to fraction form
    8,609.89/11,872.14 = 5,952.68/x
  3. Step 3: Cross multiply
    8,609.89x = 11,872.14 × 5,952.68
  4. Step 4: Simplify right side
    8,609.89x = 70,671,050.34
  5. Step 5: Solve for x
    x = 70,671,050.34/8,609.89
  6. Step 6: Final answer
    x = 8,208.12

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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.