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Finding the Fourth Proportional to 6,977.80, 9,786.20 and 6,977.80

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Solution

The fourth proportional to 6,977.80, 9,786.20 and 6,977.80 is: 9,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.80 : 9,786.20 = 6,977.80 : x
  2. Step 2: Convert to fraction form
    6,977.80/9,786.20 = 6,977.80/x
  3. Step 3: Cross multiply
    6,977.80x = 9,786.20 × 6,977.80
  4. Step 4: Simplify right side
    6,977.80x = 68,286,146.36
  5. Step 5: Solve for x
    x = 68,286,146.36/6,977.80
  6. Step 6: Final answer
    x = 9,786.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.