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Finding the Fourth Proportional to 7,197.80, 10,786.91 and 3,492.63

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Solution

The fourth proportional to 7,197.80, 10,786.91 and 3,492.63 is: 5,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.80 : 10,786.91 = 3,492.63 : x
  2. Step 2: Convert to fraction form
    7,197.80/10,786.91 = 3,492.63/x
  3. Step 3: Cross multiply
    7,197.80x = 10,786.91 × 3,492.63
  4. Step 4: Simplify right side
    7,197.80x = 37,674,668.01
  5. Step 5: Solve for x
    x = 37,674,668.01/7,197.80
  6. Step 6: Final answer
    x = 5,234.20

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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.