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Finding the Fourth Proportional to 9,659.20, 14,494.20 and 4,111.60

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Solution

The fourth proportional to 9,659.20, 14,494.20 and 4,111.60 is: 6,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.20 : 14,494.20 = 4,111.60 : x
  2. Step 2: Convert to fraction form
    9,659.20/14,494.20 = 4,111.60/x
  3. Step 3: Cross multiply
    9,659.20x = 14,494.20 × 4,111.60
  4. Step 4: Simplify right side
    9,659.20x = 59,594,352.72
  5. Step 5: Solve for x
    x = 59,594,352.72/9,659.20
  6. Step 6: Final answer
    x = 6,169.70

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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.