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Finding the Fourth Proportional to 13,745.84, 18,969.09 and 7,458.17

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Solution

The fourth proportional to 13,745.84, 18,969.09 and 7,458.17 is: 10,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.84 : 18,969.09 = 7,458.17 : x
  2. Step 2: Convert to fraction form
    13,745.84/18,969.09 = 7,458.17/x
  3. Step 3: Cross multiply
    13,745.84x = 18,969.09 × 7,458.17
  4. Step 4: Simplify right side
    13,745.84x = 141,474,697.97
  5. Step 5: Solve for x
    x = 141,474,697.97/13,745.84
  6. Step 6: Final answer
    x = 10,292.18

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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.