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Finding the Fourth Proportional to 7,832.65, 11,752.05 and 3,447.03

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Solution

The fourth proportional to 7,832.65, 11,752.05 and 3,447.03 is: 5,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.65 : 11,752.05 = 3,447.03 : x
  2. Step 2: Convert to fraction form
    7,832.65/11,752.05 = 3,447.03/x
  3. Step 3: Cross multiply
    7,832.65x = 11,752.05 × 3,447.03
  4. Step 4: Simplify right side
    7,832.65x = 40,509,668.91
  5. Step 5: Solve for x
    x = 40,509,668.91/7,832.65
  6. Step 6: Final answer
    x = 5,171.90

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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.