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Finding the Fourth Proportional to 6,238.40, 9,289.65 and 6,169.37

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Solution

The fourth proportional to 6,238.40, 9,289.65 and 6,169.37 is: 9,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.40 : 9,289.65 = 6,169.37 : x
  2. Step 2: Convert to fraction form
    6,238.40/9,289.65 = 6,169.37/x
  3. Step 3: Cross multiply
    6,238.40x = 9,289.65 × 6,169.37
  4. Step 4: Simplify right side
    6,238.40x = 57,311,264.71
  5. Step 5: Solve for x
    x = 57,311,264.71/6,238.40
  6. Step 6: Final answer
    x = 9,186.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.