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Finding the Fourth Proportional to 6,930.51, 9,563.99 and 3,786.63

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Solution

The fourth proportional to 6,930.51, 9,563.99 and 3,786.63 is: 5,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.51 : 9,563.99 = 3,786.63 : x
  2. Step 2: Convert to fraction form
    6,930.51/9,563.99 = 3,786.63/x
  3. Step 3: Cross multiply
    6,930.51x = 9,563.99 × 3,786.63
  4. Step 4: Simplify right side
    6,930.51x = 36,215,272.52
  5. Step 5: Solve for x
    x = 36,215,272.52/6,930.51
  6. Step 6: Final answer
    x = 5,225.48

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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.