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Finding the Fourth Proportional to 9,223, 13,840.17 and 4,843.60

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Solution

The fourth proportional to 9,223, 13,840.17 and 4,843.60 is: 7,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 13,840.17 = 4,843.60 : x
  2. Step 2: Convert to fraction form
    9,223/13,840.17 = 4,843.60/x
  3. Step 3: Cross multiply
    9,223x = 13,840.17 × 4,843.60
  4. Step 4: Simplify right side
    9,223x = 67,036,247.41
  5. Step 5: Solve for x
    x = 67,036,247.41/9,223
  6. Step 6: Final answer
    x = 7,268.38

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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.