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Finding the Fourth Proportional to 9,161.34, 13,675.68 and 8,476.54

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Solution

The fourth proportional to 9,161.34, 13,675.68 and 8,476.54 is: 12,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.34 : 13,675.68 = 8,476.54 : x
  2. Step 2: Convert to fraction form
    9,161.34/13,675.68 = 8,476.54/x
  3. Step 3: Cross multiply
    9,161.34x = 13,675.68 × 8,476.54
  4. Step 4: Simplify right side
    9,161.34x = 115,922,448.55
  5. Step 5: Solve for x
    x = 115,922,448.55/9,161.34
  6. Step 6: Final answer
    x = 12,653.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.