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Finding the Fourth Proportional to 4,692.96, 7,039.19 and 1,182.96

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Solution

The fourth proportional to 4,692.96, 7,039.19 and 1,182.96 is: 1,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.96 : 7,039.19 = 1,182.96 : x
  2. Step 2: Convert to fraction form
    4,692.96/7,039.19 = 1,182.96/x
  3. Step 3: Cross multiply
    4,692.96x = 7,039.19 × 1,182.96
  4. Step 4: Simplify right side
    4,692.96x = 8,327,074.29
  5. Step 5: Solve for x
    x = 8,327,074.29/4,692.96
  6. Step 6: Final answer
    x = 1,774.38

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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.