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Finding the Fourth Proportional to 7,976.12, 11,903.86 and 7,768.76

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Solution

The fourth proportional to 7,976.12, 11,903.86 and 7,768.76 is: 11,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.12 : 11,903.86 = 7,768.76 : x
  2. Step 2: Convert to fraction form
    7,976.12/11,903.86 = 7,768.76/x
  3. Step 3: Cross multiply
    7,976.12x = 11,903.86 × 7,768.76
  4. Step 4: Simplify right side
    7,976.12x = 92,478,231.41
  5. Step 5: Solve for x
    x = 92,478,231.41/7,976.12
  6. Step 6: Final answer
    x = 11,594.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.