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Finding the Fourth Proportional to 7,846.84, 11,762.36 and 3,463.52

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Solution

The fourth proportional to 7,846.84, 11,762.36 and 3,463.52 is: 5,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.84 : 11,762.36 = 3,463.52 : x
  2. Step 2: Convert to fraction form
    7,846.84/11,762.36 = 3,463.52/x
  3. Step 3: Cross multiply
    7,846.84x = 11,762.36 × 3,463.52
  4. Step 4: Simplify right side
    7,846.84x = 40,739,169.11
  5. Step 5: Solve for x
    x = 40,739,169.11/7,846.84
  6. Step 6: Final answer
    x = 5,191.79

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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.