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Finding the Fourth Proportional to 5,633.75, 7,769.52 and 4,692.66

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Solution

The fourth proportional to 5,633.75, 7,769.52 and 4,692.66 is: 6,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.75 : 7,769.52 = 4,692.66 : x
  2. Step 2: Convert to fraction form
    5,633.75/7,769.52 = 4,692.66/x
  3. Step 3: Cross multiply
    5,633.75x = 7,769.52 × 4,692.66
  4. Step 4: Simplify right side
    5,633.75x = 36,459,715.72
  5. Step 5: Solve for x
    x = 36,459,715.72/5,633.75
  6. Step 6: Final answer
    x = 6,471.67

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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.