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Finding the Fourth Proportional to 13,027.01, 17,976 and 7,283.42

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Solution

The fourth proportional to 13,027.01, 17,976 and 7,283.42 is: 10,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.01 : 17,976 = 7,283.42 : x
  2. Step 2: Convert to fraction form
    13,027.01/17,976 = 7,283.42/x
  3. Step 3: Cross multiply
    13,027.01x = 17,976 × 7,283.42
  4. Step 4: Simplify right side
    13,027.01x = 130,926,757.92
  5. Step 5: Solve for x
    x = 130,926,757.92/13,027.01
  6. Step 6: Final answer
    x = 10,050.41

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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.