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Finding the Fourth Proportional to 9,745.25, 13,448.45 and 5,329.25

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Solution

The fourth proportional to 9,745.25, 13,448.45 and 5,329.25 is: 7,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.25 : 13,448.45 = 5,329.25 : x
  2. Step 2: Convert to fraction form
    9,745.25/13,448.45 = 5,329.25/x
  3. Step 3: Cross multiply
    9,745.25x = 13,448.45 × 5,329.25
  4. Step 4: Simplify right side
    9,745.25x = 71,670,125.52
  5. Step 5: Solve for x
    x = 71,670,125.52/9,745.25
  6. Step 6: Final answer
    x = 7,354.37

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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.