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Finding the Fourth Proportional to 6,847.60, 9,468.12 and 5,972.80

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Solution

The fourth proportional to 6,847.60, 9,468.12 and 5,972.80 is: 8,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.60 : 9,468.12 = 5,972.80 : x
  2. Step 2: Convert to fraction form
    6,847.60/9,468.12 = 5,972.80/x
  3. Step 3: Cross multiply
    6,847.60x = 9,468.12 × 5,972.80
  4. Step 4: Simplify right side
    6,847.60x = 56,551,187.14
  5. Step 5: Solve for x
    x = 56,551,187.14/6,847.60
  6. Step 6: Final answer
    x = 8,258.54

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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.