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Finding the Fourth Proportional to 9,745.38, 13,449.93 and 5,497.31

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Solution

The fourth proportional to 9,745.38, 13,449.93 and 5,497.31 is: 7,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.38 : 13,449.93 = 5,497.31 : x
  2. Step 2: Convert to fraction form
    9,745.38/13,449.93 = 5,497.31/x
  3. Step 3: Cross multiply
    9,745.38x = 13,449.93 × 5,497.31
  4. Step 4: Simplify right side
    9,745.38x = 73,938,434.69
  5. Step 5: Solve for x
    x = 73,938,434.69/9,745.38
  6. Step 6: Final answer
    x = 7,587.02

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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.