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Finding the Fourth Proportional to 12,466.72, 17,204.12 and 6,801.59

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Solution

The fourth proportional to 12,466.72, 17,204.12 and 6,801.59 is: 9,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.72 : 17,204.12 = 6,801.59 : x
  2. Step 2: Convert to fraction form
    12,466.72/17,204.12 = 6,801.59/x
  3. Step 3: Cross multiply
    12,466.72x = 17,204.12 × 6,801.59
  4. Step 4: Simplify right side
    12,466.72x = 117,015,336.54
  5. Step 5: Solve for x
    x = 117,015,336.54/12,466.72
  6. Step 6: Final answer
    x = 9,386.22

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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.