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Finding the Fourth Proportional to 7,197.95, 10,778.24 and 6,164.60

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Solution

The fourth proportional to 7,197.95, 10,778.24 and 6,164.60 is: 9,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.95 : 10,778.24 = 6,164.60 : x
  2. Step 2: Convert to fraction form
    7,197.95/10,778.24 = 6,164.60/x
  3. Step 3: Cross multiply
    7,197.95x = 10,778.24 × 6,164.60
  4. Step 4: Simplify right side
    7,197.95x = 66,443,453.59
  5. Step 5: Solve for x
    x = 66,443,453.59/7,197.95
  6. Step 6: Final answer
    x = 9,230.89

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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.