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Finding the Fourth Proportional to 8,129.60, 12,194.40 and 4,630.40

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Solution

The fourth proportional to 8,129.60, 12,194.40 and 4,630.40 is: 6,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.60 : 12,194.40 = 4,630.40 : x
  2. Step 2: Convert to fraction form
    8,129.60/12,194.40 = 4,630.40/x
  3. Step 3: Cross multiply
    8,129.60x = 12,194.40 × 4,630.40
  4. Step 4: Simplify right side
    8,129.60x = 56,464,949.76
  5. Step 5: Solve for x
    x = 56,464,949.76/8,129.60
  6. Step 6: Final answer
    x = 6,945.60

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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.