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Finding the Fourth Proportional to 9,745.41, 13,448.73 and 5,496.51

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Solution

The fourth proportional to 9,745.41, 13,448.73 and 5,496.51 is: 7,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.41 : 13,448.73 = 5,496.51 : x
  2. Step 2: Convert to fraction form
    9,745.41/13,448.73 = 5,496.51/x
  3. Step 3: Cross multiply
    9,745.41x = 13,448.73 × 5,496.51
  4. Step 4: Simplify right side
    9,745.41x = 73,921,074.33
  5. Step 5: Solve for x
    x = 73,921,074.33/9,745.41
  6. Step 6: Final answer
    x = 7,585.22

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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.