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Finding the Fourth Proportional to 7,823.22, 11,706.87 and 7,301.85

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Solution

The fourth proportional to 7,823.22, 11,706.87 and 7,301.85 is: 10,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.22 : 11,706.87 = 7,301.85 : x
  2. Step 2: Convert to fraction form
    7,823.22/11,706.87 = 7,301.85/x
  3. Step 3: Cross multiply
    7,823.22x = 11,706.87 × 7,301.85
  4. Step 4: Simplify right side
    7,823.22x = 85,481,808.71
  5. Step 5: Solve for x
    x = 85,481,808.71/7,823.22
  6. Step 6: Final answer
    x = 10,926.68

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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.