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Finding the Fourth Proportional to 9,625.20, 14,444.20 and 5,465.20

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Solution

The fourth proportional to 9,625.20, 14,444.20 and 5,465.20 is: 8,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.20 : 14,444.20 = 5,465.20 : x
  2. Step 2: Convert to fraction form
    9,625.20/14,444.20 = 5,465.20/x
  3. Step 3: Cross multiply
    9,625.20x = 14,444.20 × 5,465.20
  4. Step 4: Simplify right side
    9,625.20x = 78,940,441.84
  5. Step 5: Solve for x
    x = 78,940,441.84/9,625.20
  6. Step 6: Final answer
    x = 8,201.43

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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.