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Finding the Fourth Proportional to 13,636.96, 18,820.16 and 7,669.19

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Solution

The fourth proportional to 13,636.96, 18,820.16 and 7,669.19 is: 10,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.96 : 18,820.16 = 7,669.19 : x
  2. Step 2: Convert to fraction form
    13,636.96/18,820.16 = 7,669.19/x
  3. Step 3: Cross multiply
    13,636.96x = 18,820.16 × 7,669.19
  4. Step 4: Simplify right side
    13,636.96x = 144,335,382.87
  5. Step 5: Solve for x
    x = 144,335,382.87/13,636.96
  6. Step 6: Final answer
    x = 10,584.13

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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.