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Finding the Fourth Proportional to 4,692.96, 6,473.69 and 3,014.62

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Solution

The fourth proportional to 4,692.96, 6,473.69 and 3,014.62 is: 4,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.96 : 6,473.69 = 3,014.62 : x
  2. Step 2: Convert to fraction form
    4,692.96/6,473.69 = 3,014.62/x
  3. Step 3: Cross multiply
    4,692.96x = 6,473.69 × 3,014.62
  4. Step 4: Simplify right side
    4,692.96x = 19,515,698.61
  5. Step 5: Solve for x
    x = 19,515,698.61/4,692.96
  6. Step 6: Final answer
    x = 4,158.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.