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Finding the Fourth Proportional to 35,969.62, 53,954.94 and 13,784.12

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Solution

The fourth proportional to 35,969.62, 53,954.94 and 13,784.12 is: 20,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969.62 : 53,954.94 = 13,784.12 : x
  2. Step 2: Convert to fraction form
    35,969.62/53,954.94 = 13,784.12/x
  3. Step 3: Cross multiply
    35,969.62x = 53,954.94 × 13,784.12
  4. Step 4: Simplify right side
    35,969.62x = 743,721,367.55
  5. Step 5: Solve for x
    x = 743,721,367.55/35,969.62
  6. Step 6: Final answer
    x = 20,676.38

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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.