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Finding the Fourth Proportional to 7,266.96, 10,900.44 and 2,882.16

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Solution

The fourth proportional to 7,266.96, 10,900.44 and 2,882.16 is: 4,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.96 : 10,900.44 = 2,882.16 : x
  2. Step 2: Convert to fraction form
    7,266.96/10,900.44 = 2,882.16/x
  3. Step 3: Cross multiply
    7,266.96x = 10,900.44 × 2,882.16
  4. Step 4: Simplify right side
    7,266.96x = 31,416,812.15
  5. Step 5: Solve for x
    x = 31,416,812.15/7,266.96
  6. Step 6: Final answer
    x = 4,323.24

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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.