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Finding the Fourth Proportional to 8,197.70, 12,289.80 and 3,521.30

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Solution

The fourth proportional to 8,197.70, 12,289.80 and 3,521.30 is: 5,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.70 : 12,289.80 = 3,521.30 : x
  2. Step 2: Convert to fraction form
    8,197.70/12,289.80 = 3,521.30/x
  3. Step 3: Cross multiply
    8,197.70x = 12,289.80 × 3,521.30
  4. Step 4: Simplify right side
    8,197.70x = 43,276,072.74
  5. Step 5: Solve for x
    x = 43,276,072.74/8,197.70
  6. Step 6: Final answer
    x = 5,279.05

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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.