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Finding the Fourth Proportional to 8,196.58, 11,311.65 and 4,470.58

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Solution

The fourth proportional to 8,196.58, 11,311.65 and 4,470.58 is: 6,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.58 : 11,311.65 = 4,470.58 : x
  2. Step 2: Convert to fraction form
    8,196.58/11,311.65 = 4,470.58/x
  3. Step 3: Cross multiply
    8,196.58x = 11,311.65 × 4,470.58
  4. Step 4: Simplify right side
    8,196.58x = 50,569,636.26
  5. Step 5: Solve for x
    x = 50,569,636.26/8,196.58
  6. Step 6: Final answer
    x = 6,169.60

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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.