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Finding the Fourth Proportional to 13,661.16, 18,829.74 and 9,677.16

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Solution

The fourth proportional to 13,661.16, 18,829.74 and 9,677.16 is: 13,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.16 : 18,829.74 = 9,677.16 : x
  2. Step 2: Convert to fraction form
    13,661.16/18,829.74 = 9,677.16/x
  3. Step 3: Cross multiply
    13,661.16x = 18,829.74 × 9,677.16
  4. Step 4: Simplify right side
    13,661.16x = 182,218,406.74
  5. Step 5: Solve for x
    x = 182,218,406.74/13,661.16
  6. Step 6: Final answer
    x = 13,338.43

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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.