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Finding the Fourth Proportional to 5,663, 8,492.44 and 1,964.24

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Solution

The fourth proportional to 5,663, 8,492.44 and 1,964.24 is: 2,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663 : 8,492.44 = 1,964.24 : x
  2. Step 2: Convert to fraction form
    5,663/8,492.44 = 1,964.24/x
  3. Step 3: Cross multiply
    5,663x = 8,492.44 × 1,964.24
  4. Step 4: Simplify right side
    5,663x = 16,681,190.35
  5. Step 5: Solve for x
    x = 16,681,190.35/5,663
  6. Step 6: Final answer
    x = 2,945.65

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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.