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Finding the Fourth Proportional to 12,801.78, 19,205.28 and 7,257.60

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Solution

The fourth proportional to 12,801.78, 19,205.28 and 7,257.60 is: 10,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.78 : 19,205.28 = 7,257.60 : x
  2. Step 2: Convert to fraction form
    12,801.78/19,205.28 = 7,257.60/x
  3. Step 3: Cross multiply
    12,801.78x = 19,205.28 × 7,257.60
  4. Step 4: Simplify right side
    12,801.78x = 139,384,240.13
  5. Step 5: Solve for x
    x = 139,384,240.13/12,801.78
  6. Step 6: Final answer
    x = 10,887.88

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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.