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Finding the Fourth Proportional to 9,611.21, 13,263.95 and 7,249.25

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Solution

The fourth proportional to 9,611.21, 13,263.95 and 7,249.25 is: 10,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.21 : 13,263.95 = 7,249.25 : x
  2. Step 2: Convert to fraction form
    9,611.21/13,263.95 = 7,249.25/x
  3. Step 3: Cross multiply
    9,611.21x = 13,263.95 × 7,249.25
  4. Step 4: Simplify right side
    9,611.21x = 96,153,740.82
  5. Step 5: Solve for x
    x = 96,153,740.82/9,611.21
  6. Step 6: Final answer
    x = 10,004.33

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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.