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Finding the Fourth Proportional to 6,692.83, 10,039.34 and 1,762.97

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Solution

The fourth proportional to 6,692.83, 10,039.34 and 1,762.97 is: 2,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.83 : 10,039.34 = 1,762.97 : x
  2. Step 2: Convert to fraction form
    6,692.83/10,039.34 = 1,762.97/x
  3. Step 3: Cross multiply
    6,692.83x = 10,039.34 × 1,762.97
  4. Step 4: Simplify right side
    6,692.83x = 17,699,009.45
  5. Step 5: Solve for x
    x = 17,699,009.45/6,692.83
  6. Step 6: Final answer
    x = 2,644.47

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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.