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Finding the Fourth Proportional to 6,930.77, 9,564.32 and 3,786.98

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Solution

The fourth proportional to 6,930.77, 9,564.32 and 3,786.98 is: 5,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.77 : 9,564.32 = 3,786.98 : x
  2. Step 2: Convert to fraction form
    6,930.77/9,564.32 = 3,786.98/x
  3. Step 3: Cross multiply
    6,930.77x = 9,564.32 × 3,786.98
  4. Step 4: Simplify right side
    6,930.77x = 36,219,821.80
  5. Step 5: Solve for x
    x = 36,219,821.80/6,930.77
  6. Step 6: Final answer
    x = 5,225.95

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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.