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Finding the Fourth Proportional to 7,225, 10,832.52 and 2,842.96

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Solution

The fourth proportional to 7,225, 10,832.52 and 2,842.96 is: 4,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225 : 10,832.52 = 2,842.96 : x
  2. Step 2: Convert to fraction form
    7,225/10,832.52 = 2,842.96/x
  3. Step 3: Cross multiply
    7,225x = 10,832.52 × 2,842.96
  4. Step 4: Simplify right side
    7,225x = 30,796,421.06
  5. Step 5: Solve for x
    x = 30,796,421.06/7,225
  6. Step 6: Final answer
    x = 4,262.48

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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.