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Finding the Fourth Proportional to 10,137.80, 15,201.84 and 5,204.90

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Solution

The fourth proportional to 10,137.80, 15,201.84 and 5,204.90 is: 7,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.80 : 15,201.84 = 5,204.90 : x
  2. Step 2: Convert to fraction form
    10,137.80/15,201.84 = 5,204.90/x
  3. Step 3: Cross multiply
    10,137.80x = 15,201.84 × 5,204.90
  4. Step 4: Simplify right side
    10,137.80x = 79,124,057.02
  5. Step 5: Solve for x
    x = 79,124,057.02/10,137.80
  6. Step 6: Final answer
    x = 7,804.85

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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.