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Finding the Fourth Proportional to 7,797.53, 11,698.23 and 2,250.74

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Solution

The fourth proportional to 7,797.53, 11,698.23 and 2,250.74 is: 3,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.53 : 11,698.23 = 2,250.74 : x
  2. Step 2: Convert to fraction form
    7,797.53/11,698.23 = 2,250.74/x
  3. Step 3: Cross multiply
    7,797.53x = 11,698.23 × 2,250.74
  4. Step 4: Simplify right side
    7,797.53x = 26,329,674.19
  5. Step 5: Solve for x
    x = 26,329,674.19/7,797.53
  6. Step 6: Final answer
    x = 3,376.67

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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.