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Finding the Fourth Proportional to 9,422.01, 14,133 and 5,255.78

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Solution

The fourth proportional to 9,422.01, 14,133 and 5,255.78 is: 7,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.01 : 14,133 = 5,255.78 : x
  2. Step 2: Convert to fraction form
    9,422.01/14,133 = 5,255.78/x
  3. Step 3: Cross multiply
    9,422.01x = 14,133 × 5,255.78
  4. Step 4: Simplify right side
    9,422.01x = 74,279,868.08
  5. Step 5: Solve for x
    x = 74,279,868.08/9,422.01
  6. Step 6: Final answer
    x = 7,883.65

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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.