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Finding the Fourth Proportional to 9,625.62, 14,444.28 and 3,782.28

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Solution

The fourth proportional to 9,625.62, 14,444.28 and 3,782.28 is: 5,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.62 : 14,444.28 = 3,782.28 : x
  2. Step 2: Convert to fraction form
    9,625.62/14,444.28 = 3,782.28/x
  3. Step 3: Cross multiply
    9,625.62x = 14,444.28 × 3,782.28
  4. Step 4: Simplify right side
    9,625.62x = 54,632,311.36
  5. Step 5: Solve for x
    x = 54,632,311.36/9,625.62
  6. Step 6: Final answer
    x = 5,675.72

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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.