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Finding the Fourth Proportional to 12,797.57, 19,196.16 and 7,801.41

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Solution

The fourth proportional to 12,797.57, 19,196.16 and 7,801.41 is: 11,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.57 : 19,196.16 = 7,801.41 : x
  2. Step 2: Convert to fraction form
    12,797.57/19,196.16 = 7,801.41/x
  3. Step 3: Cross multiply
    12,797.57x = 19,196.16 × 7,801.41
  4. Step 4: Simplify right side
    12,797.57x = 149,757,223.14
  5. Step 5: Solve for x
    x = 149,757,223.14/12,797.57
  6. Step 6: Final answer
    x = 11,702.00

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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.