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Finding the Fourth Proportional to 10,709.69, 14,786.07 and 6,882.88

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Solution

The fourth proportional to 10,709.69, 14,786.07 and 6,882.88 is: 9,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.69 : 14,786.07 = 6,882.88 : x
  2. Step 2: Convert to fraction form
    10,709.69/14,786.07 = 6,882.88/x
  3. Step 3: Cross multiply
    10,709.69x = 14,786.07 × 6,882.88
  4. Step 4: Simplify right side
    10,709.69x = 101,770,637.14
  5. Step 5: Solve for x
    x = 101,770,637.14/10,709.69
  6. Step 6: Final answer
    x = 9,502.67

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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.