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Finding the Fourth Proportional to 9,745.31, 13,448.62 and 5,269.14

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Solution

The fourth proportional to 9,745.31, 13,448.62 and 5,269.14 is: 7,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.31 : 13,448.62 = 5,269.14 : x
  2. Step 2: Convert to fraction form
    9,745.31/13,448.62 = 5,269.14/x
  3. Step 3: Cross multiply
    9,745.31x = 13,448.62 × 5,269.14
  4. Step 4: Simplify right side
    9,745.31x = 70,862,718.61
  5. Step 5: Solve for x
    x = 70,862,718.61/9,745.31
  6. Step 6: Final answer
    x = 7,271.47

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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.