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Finding the Fourth Proportional to 6,786.95, 9,370.58 and 4,238.60

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Solution

The fourth proportional to 6,786.95, 9,370.58 and 4,238.60 is: 5,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.95 : 9,370.58 = 4,238.60 : x
  2. Step 2: Convert to fraction form
    6,786.95/9,370.58 = 4,238.60/x
  3. Step 3: Cross multiply
    6,786.95x = 9,370.58 × 4,238.60
  4. Step 4: Simplify right side
    6,786.95x = 39,718,140.39
  5. Step 5: Solve for x
    x = 39,718,140.39/6,786.95
  6. Step 6: Final answer
    x = 5,852.13

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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.