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Finding the Fourth Proportional to 12,646.54, 18,972.04 and 4,324.60

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Solution

The fourth proportional to 12,646.54, 18,972.04 and 4,324.60 is: 6,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.54 : 18,972.04 = 4,324.60 : x
  2. Step 2: Convert to fraction form
    12,646.54/18,972.04 = 4,324.60/x
  3. Step 3: Cross multiply
    12,646.54x = 18,972.04 × 4,324.60
  4. Step 4: Simplify right side
    12,646.54x = 82,046,484.18
  5. Step 5: Solve for x
    x = 82,046,484.18/12,646.54
  6. Step 6: Final answer
    x = 6,487.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.