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Finding the Fourth Proportional to 8,468.65, 11,680.90 and 5,956.03

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Solution

The fourth proportional to 8,468.65, 11,680.90 and 5,956.03 is: 8,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.65 : 11,680.90 = 5,956.03 : x
  2. Step 2: Convert to fraction form
    8,468.65/11,680.90 = 5,956.03/x
  3. Step 3: Cross multiply
    8,468.65x = 11,680.90 × 5,956.03
  4. Step 4: Simplify right side
    8,468.65x = 69,571,790.83
  5. Step 5: Solve for x
    x = 69,571,790.83/8,468.65
  6. Step 6: Final answer
    x = 8,215.22

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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.