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Finding the Fourth Proportional to 7,729.80, 11,573.93 and 6,359.67

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Solution

The fourth proportional to 7,729.80, 11,573.93 and 6,359.67 is: 9,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.80 : 11,573.93 = 6,359.67 : x
  2. Step 2: Convert to fraction form
    7,729.80/11,573.93 = 6,359.67/x
  3. Step 3: Cross multiply
    7,729.80x = 11,573.93 × 6,359.67
  4. Step 4: Simplify right side
    7,729.80x = 73,606,343.60
  5. Step 5: Solve for x
    x = 73,606,343.60/7,729.80
  6. Step 6: Final answer
    x = 9,522.41

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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.