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Finding the Fourth Proportional to 7,752.65, 11,630.72 and 2,822.33

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Solution

The fourth proportional to 7,752.65, 11,630.72 and 2,822.33 is: 4,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.65 : 11,630.72 = 2,822.33 : x
  2. Step 2: Convert to fraction form
    7,752.65/11,630.72 = 2,822.33/x
  3. Step 3: Cross multiply
    7,752.65x = 11,630.72 × 2,822.33
  4. Step 4: Simplify right side
    7,752.65x = 32,825,729.98
  5. Step 5: Solve for x
    x = 32,825,729.98/7,752.65
  6. Step 6: Final answer
    x = 4,234.13

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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.