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Finding the Fourth Proportional to 13,286, 18,334.68 and 7,700.24

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Solution

The fourth proportional to 13,286, 18,334.68 and 7,700.24 is: 10,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286 : 18,334.68 = 7,700.24 : x
  2. Step 2: Convert to fraction form
    13,286/18,334.68 = 7,700.24/x
  3. Step 3: Cross multiply
    13,286x = 18,334.68 × 7,700.24
  4. Step 4: Simplify right side
    13,286x = 141,181,436.32
  5. Step 5: Solve for x
    x = 141,181,436.32/13,286
  6. Step 6: Final answer
    x = 10,626.33

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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.