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Finding the Fourth Proportional to 20,083.80, 30,132.98 and 6,937.50

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Solution

The fourth proportional to 20,083.80, 30,132.98 and 6,937.50 is: 10,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.80 : 30,132.98 = 6,937.50 : x
  2. Step 2: Convert to fraction form
    20,083.80/30,132.98 = 6,937.50/x
  3. Step 3: Cross multiply
    20,083.80x = 30,132.98 × 6,937.50
  4. Step 4: Simplify right side
    20,083.80x = 209,047,548.75
  5. Step 5: Solve for x
    x = 209,047,548.75/20,083.80
  6. Step 6: Final answer
    x = 10,408.76

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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.