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Finding the Fourth Proportional to 6,966.88, 9,560.97 and 6,917.67

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Solution

The fourth proportional to 6,966.88, 9,560.97 and 6,917.67 is: 9,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.88 : 9,560.97 = 6,917.67 : x
  2. Step 2: Convert to fraction form
    6,966.88/9,560.97 = 6,917.67/x
  3. Step 3: Cross multiply
    6,966.88x = 9,560.97 × 6,917.67
  4. Step 4: Simplify right side
    6,966.88x = 66,139,635.34
  5. Step 5: Solve for x
    x = 66,139,635.34/6,966.88
  6. Step 6: Final answer
    x = 9,493.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.