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Finding the Fourth Proportional to 6,098.70, 9,147.22 and 1,716.60

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Solution

The fourth proportional to 6,098.70, 9,147.22 and 1,716.60 is: 2,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.70 : 9,147.22 = 1,716.60 : x
  2. Step 2: Convert to fraction form
    6,098.70/9,147.22 = 1,716.60/x
  3. Step 3: Cross multiply
    6,098.70x = 9,147.22 × 1,716.60
  4. Step 4: Simplify right side
    6,098.70x = 15,702,117.85
  5. Step 5: Solve for x
    x = 15,702,117.85/6,098.70
  6. Step 6: Final answer
    x = 2,574.67

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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.