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Finding the Fourth Proportional to 13,777.97, 19,013.58 and 8,188.97

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Solution

The fourth proportional to 13,777.97, 19,013.58 and 8,188.97 is: 11,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.97 : 19,013.58 = 8,188.97 : x
  2. Step 2: Convert to fraction form
    13,777.97/19,013.58 = 8,188.97/x
  3. Step 3: Cross multiply
    13,777.97x = 19,013.58 × 8,188.97
  4. Step 4: Simplify right side
    13,777.97x = 155,701,636.21
  5. Step 5: Solve for x
    x = 155,701,636.21/13,777.97
  6. Step 6: Final answer
    x = 11,300.77

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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.