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Finding the Fourth Proportional to 7,513, 10,367.94 and 4,201

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Solution

The fourth proportional to 7,513, 10,367.94 and 4,201 is: 5,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513 : 10,367.94 = 4,201 : x
  2. Step 2: Convert to fraction form
    7,513/10,367.94 = 4,201/x
  3. Step 3: Cross multiply
    7,513x = 10,367.94 × 4,201
  4. Step 4: Simplify right side
    7,513x = 43,555,715.94
  5. Step 5: Solve for x
    x = 43,555,715.94/7,513
  6. Step 6: Final answer
    x = 5,797.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.