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Finding the Fourth Proportional to 4,692.14, 6,448.04 and 4,475.30

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Solution

The fourth proportional to 4,692.14, 6,448.04 and 4,475.30 is: 6,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.14 : 6,448.04 = 4,475.30 : x
  2. Step 2: Convert to fraction form
    4,692.14/6,448.04 = 4,475.30/x
  3. Step 3: Cross multiply
    4,692.14x = 6,448.04 × 4,475.30
  4. Step 4: Simplify right side
    4,692.14x = 28,856,913.41
  5. Step 5: Solve for x
    x = 28,856,913.41/4,692.14
  6. Step 6: Final answer
    x = 6,150.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.