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Finding the Fourth Proportional to 8,725.62, 12,035.89 and 7,609.24

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Solution

The fourth proportional to 8,725.62, 12,035.89 and 7,609.24 is: 10,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.62 : 12,035.89 = 7,609.24 : x
  2. Step 2: Convert to fraction form
    8,725.62/12,035.89 = 7,609.24/x
  3. Step 3: Cross multiply
    8,725.62x = 12,035.89 × 7,609.24
  4. Step 4: Simplify right side
    8,725.62x = 91,584,000.18
  5. Step 5: Solve for x
    x = 91,584,000.18/8,725.62
  6. Step 6: Final answer
    x = 10,495.98

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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.