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Finding the Fourth Proportional to 7,846.74, 10,822.68 and 7,376.67

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Solution

The fourth proportional to 7,846.74, 10,822.68 and 7,376.67 is: 10,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.74 : 10,822.68 = 7,376.67 : x
  2. Step 2: Convert to fraction form
    7,846.74/10,822.68 = 7,376.67/x
  3. Step 3: Cross multiply
    7,846.74x = 10,822.68 × 7,376.67
  4. Step 4: Simplify right side
    7,846.74x = 79,835,338.88
  5. Step 5: Solve for x
    x = 79,835,338.88/7,846.74
  6. Step 6: Final answer
    x = 10,174.33

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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.