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Finding the Fourth Proportional to 13,257, 18,287.46 and 8,219.52

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Solution

The fourth proportional to 13,257, 18,287.46 and 8,219.52 is: 11,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257 : 18,287.46 = 8,219.52 : x
  2. Step 2: Convert to fraction form
    13,257/18,287.46 = 8,219.52/x
  3. Step 3: Cross multiply
    13,257x = 18,287.46 × 8,219.52
  4. Step 4: Simplify right side
    13,257x = 150,314,143.22
  5. Step 5: Solve for x
    x = 150,314,143.22/13,257
  6. Step 6: Final answer
    x = 11,338.47

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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.