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Finding the Fourth Proportional to 9,493.19, 14,221.25 and 5,786.22

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Solution

The fourth proportional to 9,493.19, 14,221.25 and 5,786.22 is: 8,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.19 : 14,221.25 = 5,786.22 : x
  2. Step 2: Convert to fraction form
    9,493.19/14,221.25 = 5,786.22/x
  3. Step 3: Cross multiply
    9,493.19x = 14,221.25 × 5,786.22
  4. Step 4: Simplify right side
    9,493.19x = 82,287,281.18
  5. Step 5: Solve for x
    x = 82,287,281.18/9,493.19
  6. Step 6: Final answer
    x = 8,668.03

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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.