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Finding the Fourth Proportional to 35,999.49, 54,000.49 and 9,704.87

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Solution

The fourth proportional to 35,999.49, 54,000.49 and 9,704.87 is: 14,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,999.49 : 54,000.49 = 9,704.87 : x
  2. Step 2: Convert to fraction form
    35,999.49/54,000.49 = 9,704.87/x
  3. Step 3: Cross multiply
    35,999.49x = 54,000.49 × 9,704.87
  4. Step 4: Simplify right side
    35,999.49x = 524,067,735.39
  5. Step 5: Solve for x
    x = 524,067,735.39/35,999.49
  6. Step 6: Final answer
    x = 14,557.64

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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.