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Finding the Fourth Proportional to 10,647.34, 14,692.75 and 5,867.12

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Solution

The fourth proportional to 10,647.34, 14,692.75 and 5,867.12 is: 8,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.34 : 14,692.75 = 5,867.12 : x
  2. Step 2: Convert to fraction form
    10,647.34/14,692.75 = 5,867.12/x
  3. Step 3: Cross multiply
    10,647.34x = 14,692.75 × 5,867.12
  4. Step 4: Simplify right side
    10,647.34x = 86,204,149.44
  5. Step 5: Solve for x
    x = 86,204,149.44/10,647.34
  6. Step 6: Final answer
    x = 8,096.31

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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.