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Finding the Fourth Proportional to 7,966.86, 11,948.67 and 7,571.67

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Solution

The fourth proportional to 7,966.86, 11,948.67 and 7,571.67 is: 11,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.86 : 11,948.67 = 7,571.67 : x
  2. Step 2: Convert to fraction form
    7,966.86/11,948.67 = 7,571.67/x
  3. Step 3: Cross multiply
    7,966.86x = 11,948.67 × 7,571.67
  4. Step 4: Simplify right side
    7,966.86x = 90,471,386.18
  5. Step 5: Solve for x
    x = 90,471,386.18/7,966.86
  6. Step 6: Final answer
    x = 11,355.97

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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.