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Finding the Fourth Proportional to 7,095.36, 9,786.24 and 6,676.80

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Solution

The fourth proportional to 7,095.36, 9,786.24 and 6,676.80 is: 9,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.36 : 9,786.24 = 6,676.80 : x
  2. Step 2: Convert to fraction form
    7,095.36/9,786.24 = 6,676.80/x
  3. Step 3: Cross multiply
    7,095.36x = 9,786.24 × 6,676.80
  4. Step 4: Simplify right side
    7,095.36x = 65,340,767.23
  5. Step 5: Solve for x
    x = 65,340,767.23/7,095.36
  6. Step 6: Final answer
    x = 9,208.94

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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.