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Finding the Fourth Proportional to 13,193.76, 19,794.02 and 9,725.07

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Solution

The fourth proportional to 13,193.76, 19,794.02 and 9,725.07 is: 14,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.76 : 19,794.02 = 9,725.07 : x
  2. Step 2: Convert to fraction form
    13,193.76/19,794.02 = 9,725.07/x
  3. Step 3: Cross multiply
    13,193.76x = 19,794.02 × 9,725.07
  4. Step 4: Simplify right side
    13,193.76x = 192,498,181.46
  5. Step 5: Solve for x
    x = 192,498,181.46/13,193.76
  6. Step 6: Final answer
    x = 14,590.09

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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.