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Finding the Fourth Proportional to 7,105.70, 10,658.44 and 2,428.94

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Solution

The fourth proportional to 7,105.70, 10,658.44 and 2,428.94 is: 3,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.70 : 10,658.44 = 2,428.94 : x
  2. Step 2: Convert to fraction form
    7,105.70/10,658.44 = 2,428.94/x
  3. Step 3: Cross multiply
    7,105.70x = 10,658.44 × 2,428.94
  4. Step 4: Simplify right side
    7,105.70x = 25,888,667.32
  5. Step 5: Solve for x
    x = 25,888,667.32/7,105.70
  6. Step 6: Final answer
    x = 3,643.37

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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.