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Finding the Fourth Proportional to 13,605.94, 18,771.51 and 7,636.78

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Solution

The fourth proportional to 13,605.94, 18,771.51 and 7,636.78 is: 10,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.94 : 18,771.51 = 7,636.78 : x
  2. Step 2: Convert to fraction form
    13,605.94/18,771.51 = 7,636.78/x
  3. Step 3: Cross multiply
    13,605.94x = 18,771.51 × 7,636.78
  4. Step 4: Simplify right side
    13,605.94x = 143,353,892.14
  5. Step 5: Solve for x
    x = 143,353,892.14/13,605.94
  6. Step 6: Final answer
    x = 10,536.13

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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.