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Finding the Fourth Proportional to 12,596.76, 18,895.50 and 3,832.20

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Solution

The fourth proportional to 12,596.76, 18,895.50 and 3,832.20 is: 5,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.76 : 18,895.50 = 3,832.20 : x
  2. Step 2: Convert to fraction form
    12,596.76/18,895.50 = 3,832.20/x
  3. Step 3: Cross multiply
    12,596.76x = 18,895.50 × 3,832.20
  4. Step 4: Simplify right side
    12,596.76x = 72,411,335.10
  5. Step 5: Solve for x
    x = 72,411,335.10/12,596.76
  6. Step 6: Final answer
    x = 5,748.41

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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.