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Finding the Fourth Proportional to 9,225, 12,732.12 and 6,087.60

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Solution

The fourth proportional to 9,225, 12,732.12 and 6,087.60 is: 8,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225 : 12,732.12 = 6,087.60 : x
  2. Step 2: Convert to fraction form
    9,225/12,732.12 = 6,087.60/x
  3. Step 3: Cross multiply
    9,225x = 12,732.12 × 6,087.60
  4. Step 4: Simplify right side
    9,225x = 77,508,053.71
  5. Step 5: Solve for x
    x = 77,508,053.71/9,225
  6. Step 6: Final answer
    x = 8,401.96

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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.