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Finding the Fourth Proportional to 4,659.60, 6,989.40 and 4,112.40

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Solution

The fourth proportional to 4,659.60, 6,989.40 and 4,112.40 is: 6,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.60 : 6,989.40 = 4,112.40 : x
  2. Step 2: Convert to fraction form
    4,659.60/6,989.40 = 4,112.40/x
  3. Step 3: Cross multiply
    4,659.60x = 6,989.40 × 4,112.40
  4. Step 4: Simplify right side
    4,659.60x = 28,743,208.56
  5. Step 5: Solve for x
    x = 28,743,208.56/4,659.60
  6. Step 6: Final answer
    x = 6,168.60

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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.