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Finding the Fourth Proportional to 9,584.96, 13,226.74 and 5,393.48

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Solution

The fourth proportional to 9,584.96, 13,226.74 and 5,393.48 is: 7,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.96 : 13,226.74 = 5,393.48 : x
  2. Step 2: Convert to fraction form
    9,584.96/13,226.74 = 5,393.48/x
  3. Step 3: Cross multiply
    9,584.96x = 13,226.74 × 5,393.48
  4. Step 4: Simplify right side
    9,584.96x = 71,338,157.66
  5. Step 5: Solve for x
    x = 71,338,157.66/9,584.96
  6. Step 6: Final answer
    x = 7,442.72

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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.