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Finding the Fourth Proportional to 9,422.01, 13,008.02 and 5,890.01

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Solution

The fourth proportional to 9,422.01, 13,008.02 and 5,890.01 is: 8,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.01 : 13,008.02 = 5,890.01 : x
  2. Step 2: Convert to fraction form
    9,422.01/13,008.02 = 5,890.01/x
  3. Step 3: Cross multiply
    9,422.01x = 13,008.02 × 5,890.01
  4. Step 4: Simplify right side
    9,422.01x = 76,617,273.39
  5. Step 5: Solve for x
    x = 76,617,273.39/9,422.01
  6. Step 6: Final answer
    x = 8,131.73

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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.