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Finding the Fourth Proportional to 6,692.00, 10,039.60 and 2,309.50

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Solution

The fourth proportional to 6,692.00, 10,039.60 and 2,309.50 is: 3,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.00 : 10,039.60 = 2,309.50 : x
  2. Step 2: Convert to fraction form
    6,692.00/10,039.60 = 2,309.50/x
  3. Step 3: Cross multiply
    6,692.00x = 10,039.60 × 2,309.50
  4. Step 4: Simplify right side
    6,692.00x = 23,186,429.66
  5. Step 5: Solve for x
    x = 23,186,429.66/6,692.00
  6. Step 6: Final answer
    x = 3,464.80

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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.