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Finding the Fourth Proportional to 7,866.82, 11,800.23 and 7,472.67

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Solution

The fourth proportional to 7,866.82, 11,800.23 and 7,472.67 is: 11,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.82 : 11,800.23 = 7,472.67 : x
  2. Step 2: Convert to fraction form
    7,866.82/11,800.23 = 7,472.67/x
  3. Step 3: Cross multiply
    7,866.82x = 11,800.23 × 7,472.67
  4. Step 4: Simplify right side
    7,866.82x = 88,179,224.71
  5. Step 5: Solve for x
    x = 88,179,224.71/7,866.82
  6. Step 6: Final answer
    x = 11,209.01

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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.