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Finding the Fourth Proportional to 9,764.60, 13,474.86 and 5,515.86

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Solution

The fourth proportional to 9,764.60, 13,474.86 and 5,515.86 is: 7,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.60 : 13,474.86 = 5,515.86 : x
  2. Step 2: Convert to fraction form
    9,764.60/13,474.86 = 5,515.86/x
  3. Step 3: Cross multiply
    9,764.60x = 13,474.86 × 5,515.86
  4. Step 4: Simplify right side
    9,764.60x = 74,325,441.28
  5. Step 5: Solve for x
    x = 74,325,441.28/9,764.60
  6. Step 6: Final answer
    x = 7,611.72

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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.