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Finding the Fourth Proportional to 6,947.85, 9,588.03 and 3,804.03

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Solution

The fourth proportional to 6,947.85, 9,588.03 and 3,804.03 is: 5,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.85 : 9,588.03 = 3,804.03 : x
  2. Step 2: Convert to fraction form
    6,947.85/9,588.03 = 3,804.03/x
  3. Step 3: Cross multiply
    6,947.85x = 9,588.03 × 3,804.03
  4. Step 4: Simplify right side
    6,947.85x = 36,473,134.74
  5. Step 5: Solve for x
    x = 36,473,134.74/6,947.85
  6. Step 6: Final answer
    x = 5,249.56

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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.