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Finding the Fourth Proportional to 12,706.68, 17,541.36 and 8,464.89

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Solution

The fourth proportional to 12,706.68, 17,541.36 and 8,464.89 is: 11,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.68 : 17,541.36 = 8,464.89 : x
  2. Step 2: Convert to fraction form
    12,706.68/17,541.36 = 8,464.89/x
  3. Step 3: Cross multiply
    12,706.68x = 17,541.36 × 8,464.89
  4. Step 4: Simplify right side
    12,706.68x = 148,485,682.85
  5. Step 5: Solve for x
    x = 148,485,682.85/12,706.68
  6. Step 6: Final answer
    x = 11,685.64

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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.