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Finding the Fourth Proportional to 36,277.90, 54,410.46 and 9,976.30

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Solution

The fourth proportional to 36,277.90, 54,410.46 and 9,976.30 is: 14,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,277.90 : 54,410.46 = 9,976.30 : x
  2. Step 2: Convert to fraction form
    36,277.90/54,410.46 = 9,976.30/x
  3. Step 3: Cross multiply
    36,277.90x = 54,410.46 × 9,976.30
  4. Step 4: Simplify right side
    36,277.90x = 542,815,072.10
  5. Step 5: Solve for x
    x = 542,815,072.10/36,277.90
  6. Step 6: Final answer
    x = 14,962.69

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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.