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Finding the Fourth Proportional to 13,603, 18,772.49 and 7,635.13

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Solution

The fourth proportional to 13,603, 18,772.49 and 7,635.13 is: 10,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603 : 18,772.49 = 7,635.13 : x
  2. Step 2: Convert to fraction form
    13,603/18,772.49 = 7,635.13/x
  3. Step 3: Cross multiply
    13,603x = 18,772.49 × 7,635.13
  4. Step 4: Simplify right side
    13,603x = 143,330,401.57
  5. Step 5: Solve for x
    x = 143,330,401.57/13,603
  6. Step 6: Final answer
    x = 10,536.68

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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.