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Finding the Fourth Proportional to 7,832.32, 10,808.78 and 4,849.60

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Solution

The fourth proportional to 7,832.32, 10,808.78 and 4,849.60 is: 6,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.32 : 10,808.78 = 4,849.60 : x
  2. Step 2: Convert to fraction form
    7,832.32/10,808.78 = 4,849.60/x
  3. Step 3: Cross multiply
    7,832.32x = 10,808.78 × 4,849.60
  4. Step 4: Simplify right side
    7,832.32x = 52,418,259.49
  5. Step 5: Solve for x
    x = 52,418,259.49/7,832.32
  6. Step 6: Final answer
    x = 6,692.56

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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.