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Finding the Fourth Proportional to 7,910.98, 11,846.07 and 7,677.46

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Solution

The fourth proportional to 7,910.98, 11,846.07 and 7,677.46 is: 11,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.98 : 11,846.07 = 7,677.46 : x
  2. Step 2: Convert to fraction form
    7,910.98/11,846.07 = 7,677.46/x
  3. Step 3: Cross multiply
    7,910.98x = 11,846.07 × 7,677.46
  4. Step 4: Simplify right side
    7,910.98x = 90,947,728.58
  5. Step 5: Solve for x
    x = 90,947,728.58/7,910.98
  6. Step 6: Final answer
    x = 11,496.39

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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.