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Finding the Fourth Proportional to 8,196.60, 11,311.14 and 4,470.60

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Solution

The fourth proportional to 8,196.60, 11,311.14 and 4,470.60 is: 6,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.60 : 11,311.14 = 4,470.60 : x
  2. Step 2: Convert to fraction form
    8,196.60/11,311.14 = 4,470.60/x
  3. Step 3: Cross multiply
    8,196.60x = 11,311.14 × 4,470.60
  4. Step 4: Simplify right side
    8,196.60x = 50,567,582.48
  5. Step 5: Solve for x
    x = 50,567,582.48/8,196.60
  6. Step 6: Final answer
    x = 6,169.34

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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.