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Finding the Fourth Proportional to 12,604.61, 18,886.11 and 7,324.80

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Solution

The fourth proportional to 12,604.61, 18,886.11 and 7,324.80 is: 10,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.61 : 18,886.11 = 7,324.80 : x
  2. Step 2: Convert to fraction form
    12,604.61/18,886.11 = 7,324.80/x
  3. Step 3: Cross multiply
    12,604.61x = 18,886.11 × 7,324.80
  4. Step 4: Simplify right side
    12,604.61x = 138,336,978.53
  5. Step 5: Solve for x
    x = 138,336,978.53/12,604.61
  6. Step 6: Final answer
    x = 10,975.11

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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.