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Finding the Fourth Proportional to 9,186.80, 13,784.72 and 3,644.10

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Solution

The fourth proportional to 9,186.80, 13,784.72 and 3,644.10 is: 5,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.80 : 13,784.72 = 3,644.10 : x
  2. Step 2: Convert to fraction form
    9,186.80/13,784.72 = 3,644.10/x
  3. Step 3: Cross multiply
    9,186.80x = 13,784.72 × 3,644.10
  4. Step 4: Simplify right side
    9,186.80x = 50,232,879.93
  5. Step 5: Solve for x
    x = 50,232,879.93/9,186.80
  6. Step 6: Final answer
    x = 5,467.94

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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.