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Finding the Fourth Proportional to 9,407.88, 12,983.22 and 5,216.13

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Solution

The fourth proportional to 9,407.88, 12,983.22 and 5,216.13 is: 7,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.88 : 12,983.22 = 5,216.13 : x
  2. Step 2: Convert to fraction form
    9,407.88/12,983.22 = 5,216.13/x
  3. Step 3: Cross multiply
    9,407.88x = 12,983.22 × 5,216.13
  4. Step 4: Simplify right side
    9,407.88x = 67,722,163.34
  5. Step 5: Solve for x
    x = 67,722,163.34/9,407.88
  6. Step 6: Final answer
    x = 7,198.45

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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.