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Finding the Fourth Proportional to 9,844.50, 14,754.39 and 7,756.27

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Solution

The fourth proportional to 9,844.50, 14,754.39 and 7,756.27 is: 11,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.50 : 14,754.39 = 7,756.27 : x
  2. Step 2: Convert to fraction form
    9,844.50/14,754.39 = 7,756.27/x
  3. Step 3: Cross multiply
    9,844.50x = 14,754.39 × 7,756.27
  4. Step 4: Simplify right side
    9,844.50x = 114,439,032.53
  5. Step 5: Solve for x
    x = 114,439,032.53/9,844.50
  6. Step 6: Final answer
    x = 11,624.67

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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.