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Finding the Fourth Proportional to 7,808.73, 10,770.73 and 4,782.43

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Solution

The fourth proportional to 7,808.73, 10,770.73 and 4,782.43 is: 6,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.73 : 10,770.73 = 4,782.43 : x
  2. Step 2: Convert to fraction form
    7,808.73/10,770.73 = 4,782.43/x
  3. Step 3: Cross multiply
    7,808.73x = 10,770.73 × 4,782.43
  4. Step 4: Simplify right side
    7,808.73x = 51,510,262.27
  5. Step 5: Solve for x
    x = 51,510,262.27/7,808.73
  6. Step 6: Final answer
    x = 6,596.50

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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.