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Finding the Fourth Proportional to 6,467.42, 9,692.02 and 2,948.78

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Solution

The fourth proportional to 6,467.42, 9,692.02 and 2,948.78 is: 4,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.42 : 9,692.02 = 2,948.78 : x
  2. Step 2: Convert to fraction form
    6,467.42/9,692.02 = 2,948.78/x
  3. Step 3: Cross multiply
    6,467.42x = 9,692.02 × 2,948.78
  4. Step 4: Simplify right side
    6,467.42x = 28,579,634.74
  5. Step 5: Solve for x
    x = 28,579,634.74/6,467.42
  6. Step 6: Final answer
    x = 4,419.02

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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.