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Finding the Fourth Proportional to 7,967.86, 11,950.17 and 7,572.67

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Solution

The fourth proportional to 7,967.86, 11,950.17 and 7,572.67 is: 11,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.86 : 11,950.17 = 7,572.67 : x
  2. Step 2: Convert to fraction form
    7,967.86/11,950.17 = 7,572.67/x
  3. Step 3: Cross multiply
    7,967.86x = 11,950.17 × 7,572.67
  4. Step 4: Simplify right side
    7,967.86x = 90,494,693.85
  5. Step 5: Solve for x
    x = 90,494,693.85/7,967.86
  6. Step 6: Final answer
    x = 11,357.47

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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.