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Finding the Fourth Proportional to 6,763.29, 10,145 and 1,832.98

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Solution

The fourth proportional to 6,763.29, 10,145 and 1,832.98 is: 2,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.29 : 10,145 = 1,832.98 : x
  2. Step 2: Convert to fraction form
    6,763.29/10,145 = 1,832.98/x
  3. Step 3: Cross multiply
    6,763.29x = 10,145 × 1,832.98
  4. Step 4: Simplify right side
    6,763.29x = 18,595,582.10
  5. Step 5: Solve for x
    x = 18,595,582.10/6,763.29
  6. Step 6: Final answer
    x = 2,749.49

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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.