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Finding the Fourth Proportional to 13,583.82, 18,735.03 and 9,106.14

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Solution

The fourth proportional to 13,583.82, 18,735.03 and 9,106.14 is: 12,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.82 : 18,735.03 = 9,106.14 : x
  2. Step 2: Convert to fraction form
    13,583.82/18,735.03 = 9,106.14/x
  3. Step 3: Cross multiply
    13,583.82x = 18,735.03 × 9,106.14
  4. Step 4: Simplify right side
    13,583.82x = 170,603,806.08
  5. Step 5: Solve for x
    x = 170,603,806.08/13,583.82
  6. Step 6: Final answer
    x = 12,559.34

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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.