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Finding the Fourth Proportional to 9,201.35, 13,803.97 and 5,254.47

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Solution

The fourth proportional to 9,201.35, 13,803.97 and 5,254.47 is: 7,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.35 : 13,803.97 = 5,254.47 : x
  2. Step 2: Convert to fraction form
    9,201.35/13,803.97 = 5,254.47/x
  3. Step 3: Cross multiply
    9,201.35x = 13,803.97 × 5,254.47
  4. Step 4: Simplify right side
    9,201.35x = 72,532,542.96
  5. Step 5: Solve for x
    x = 72,532,542.96/9,201.35
  6. Step 6: Final answer
    x = 7,882.82

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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.