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Finding the Fourth Proportional to 7,204.77, 10,782.72 and 4,433.16

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Solution

The fourth proportional to 7,204.77, 10,782.72 and 4,433.16 is: 6,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.77 : 10,782.72 = 4,433.16 : x
  2. Step 2: Convert to fraction form
    7,204.77/10,782.72 = 4,433.16/x
  3. Step 3: Cross multiply
    7,204.77x = 10,782.72 × 4,433.16
  4. Step 4: Simplify right side
    7,204.77x = 47,801,523.00
  5. Step 5: Solve for x
    x = 47,801,523.00/7,204.77
  6. Step 6: Final answer
    x = 6,634.70

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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.