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Finding the Fourth Proportional to 6,518.54, 9,774.27 and 2,299.67

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Solution

The fourth proportional to 6,518.54, 9,774.27 and 2,299.67 is: 3,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.54 : 9,774.27 = 2,299.67 : x
  2. Step 2: Convert to fraction form
    6,518.54/9,774.27 = 2,299.67/x
  3. Step 3: Cross multiply
    6,518.54x = 9,774.27 × 2,299.67
  4. Step 4: Simplify right side
    6,518.54x = 22,477,619.93
  5. Step 5: Solve for x
    x = 22,477,619.93/6,518.54
  6. Step 6: Final answer
    x = 3,448.26

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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.