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Finding the Fourth Proportional to 9,643.14, 13,310.51 and 5,611.16

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Solution

The fourth proportional to 9,643.14, 13,310.51 and 5,611.16 is: 7,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.14 : 13,310.51 = 5,611.16 : x
  2. Step 2: Convert to fraction form
    9,643.14/13,310.51 = 5,611.16/x
  3. Step 3: Cross multiply
    9,643.14x = 13,310.51 × 5,611.16
  4. Step 4: Simplify right side
    9,643.14x = 74,687,306.68
  5. Step 5: Solve for x
    x = 74,687,306.68/9,643.14
  6. Step 6: Final answer
    x = 7,745.12

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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.