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Finding the Fourth Proportional to 13,784.80, 19,021.98 and 7,817.44

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Solution

The fourth proportional to 13,784.80, 19,021.98 and 7,817.44 is: 10,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.80 : 19,021.98 = 7,817.44 : x
  2. Step 2: Convert to fraction form
    13,784.80/19,021.98 = 7,817.44/x
  3. Step 3: Cross multiply
    13,784.80x = 19,021.98 × 7,817.44
  4. Step 4: Simplify right side
    13,784.80x = 148,703,187.33
  5. Step 5: Solve for x
    x = 148,703,187.33/13,784.80
  6. Step 6: Final answer
    x = 10,787.48

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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.