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Finding the Fourth Proportional to 10,692.98, 16,039.47 and 5,764.94

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Solution

The fourth proportional to 10,692.98, 16,039.47 and 5,764.94 is: 8,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.98 : 16,039.47 = 5,764.94 : x
  2. Step 2: Convert to fraction form
    10,692.98/16,039.47 = 5,764.94/x
  3. Step 3: Cross multiply
    10,692.98x = 16,039.47 × 5,764.94
  4. Step 4: Simplify right side
    10,692.98x = 92,466,501.98
  5. Step 5: Solve for x
    x = 92,466,501.98/10,692.98
  6. Step 6: Final answer
    x = 8,647.41

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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.