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Finding the Fourth Proportional to 13,497.69, 18,629.19 and 8,466.24

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Solution

The fourth proportional to 13,497.69, 18,629.19 and 8,466.24 is: 11,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.69 : 18,629.19 = 8,466.24 : x
  2. Step 2: Convert to fraction form
    13,497.69/18,629.19 = 8,466.24/x
  3. Step 3: Cross multiply
    13,497.69x = 18,629.19 × 8,466.24
  4. Step 4: Simplify right side
    13,497.69x = 157,719,193.55
  5. Step 5: Solve for x
    x = 157,719,193.55/13,497.69
  6. Step 6: Final answer
    x = 11,684.90

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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.