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Finding the Fourth Proportional to 7,763.94, 10,714.68 and 4,782.96

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Solution

The fourth proportional to 7,763.94, 10,714.68 and 4,782.96 is: 6,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.94 : 10,714.68 = 4,782.96 : x
  2. Step 2: Convert to fraction form
    7,763.94/10,714.68 = 4,782.96/x
  3. Step 3: Cross multiply
    7,763.94x = 10,714.68 × 4,782.96
  4. Step 4: Simplify right side
    7,763.94x = 51,247,885.85
  5. Step 5: Solve for x
    x = 51,247,885.85/7,763.94
  6. Step 6: Final answer
    x = 6,600.76

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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.