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Finding the Fourth Proportional to 9,191, 13,775.52 and 3,344.42

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Solution

The fourth proportional to 9,191, 13,775.52 and 3,344.42 is: 5,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191 : 13,775.52 = 3,344.42 : x
  2. Step 2: Convert to fraction form
    9,191/13,775.52 = 3,344.42/x
  3. Step 3: Cross multiply
    9,191x = 13,775.52 × 3,344.42
  4. Step 4: Simplify right side
    9,191x = 46,071,124.60
  5. Step 5: Solve for x
    x = 46,071,124.60/9,191
  6. Step 6: Final answer
    x = 5,012.63

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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.