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Finding the Fourth Proportional to 9,193.66, 13,782.70 and 4,194.24

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Solution

The fourth proportional to 9,193.66, 13,782.70 and 4,194.24 is: 6,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.66 : 13,782.70 = 4,194.24 : x
  2. Step 2: Convert to fraction form
    9,193.66/13,782.70 = 4,194.24/x
  3. Step 3: Cross multiply
    9,193.66x = 13,782.70 × 4,194.24
  4. Step 4: Simplify right side
    9,193.66x = 57,807,951.65
  5. Step 5: Solve for x
    x = 57,807,951.65/9,193.66
  6. Step 6: Final answer
    x = 6,287.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.