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Finding the Fourth Proportional to 13,852.97, 20,784.25 and 7,604.99

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Solution

The fourth proportional to 13,852.97, 20,784.25 and 7,604.99 is: 11,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.97 : 20,784.25 = 7,604.99 : x
  2. Step 2: Convert to fraction form
    13,852.97/20,784.25 = 7,604.99/x
  3. Step 3: Cross multiply
    13,852.97x = 20,784.25 × 7,604.99
  4. Step 4: Simplify right side
    13,852.97x = 158,063,954.16
  5. Step 5: Solve for x
    x = 158,063,954.16/13,852.97
  6. Step 6: Final answer
    x = 11,410.11

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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.