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Finding the Fourth Proportional to 6,668.56, 9,197.58 and 4,015

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Solution

The fourth proportional to 6,668.56, 9,197.58 and 4,015 is: 5,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.56 : 9,197.58 = 4,015 : x
  2. Step 2: Convert to fraction form
    6,668.56/9,197.58 = 4,015/x
  3. Step 3: Cross multiply
    6,668.56x = 9,197.58 × 4,015
  4. Step 4: Simplify right side
    6,668.56x = 36,928,283.70
  5. Step 5: Solve for x
    x = 36,928,283.70/6,668.56
  6. Step 6: Final answer
    x = 5,537.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.