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Finding the Fourth Proportional to 6,458.46, 9,692.58 and 2,563.20

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Solution

The fourth proportional to 6,458.46, 9,692.58 and 2,563.20 is: 3,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.46 : 9,692.58 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    6,458.46/9,692.58 = 2,563.20/x
  3. Step 3: Cross multiply
    6,458.46x = 9,692.58 × 2,563.20
  4. Step 4: Simplify right side
    6,458.46x = 24,844,021.06
  5. Step 5: Solve for x
    x = 24,844,021.06/6,458.46
  6. Step 6: Final answer
    x = 3,846.74

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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.