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Finding the Fourth Proportional to 8,109.60, 12,164.40 and 4,647.20

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Solution

The fourth proportional to 8,109.60, 12,164.40 and 4,647.20 is: 6,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.60 : 12,164.40 = 4,647.20 : x
  2. Step 2: Convert to fraction form
    8,109.60/12,164.40 = 4,647.20/x
  3. Step 3: Cross multiply
    8,109.60x = 12,164.40 × 4,647.20
  4. Step 4: Simplify right side
    8,109.60x = 56,530,399.68
  5. Step 5: Solve for x
    x = 56,530,399.68/8,109.60
  6. Step 6: Final answer
    x = 6,970.80

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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.