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Finding the Fourth Proportional to 7,807.56, 11,692.57 and 4,465.68

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Solution

The fourth proportional to 7,807.56, 11,692.57 and 4,465.68 is: 6,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.56 : 11,692.57 = 4,465.68 : x
  2. Step 2: Convert to fraction form
    7,807.56/11,692.57 = 4,465.68/x
  3. Step 3: Cross multiply
    7,807.56x = 11,692.57 × 4,465.68
  4. Step 4: Simplify right side
    7,807.56x = 52,215,241.18
  5. Step 5: Solve for x
    x = 52,215,241.18/7,807.56
  6. Step 6: Final answer
    x = 6,687.78

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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.