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Finding the Fourth Proportional to 6,970.56, 9,619.56 and 3,986.67

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Solution

The fourth proportional to 6,970.56, 9,619.56 and 3,986.67 is: 5,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.56 : 9,619.56 = 3,986.67 : x
  2. Step 2: Convert to fraction form
    6,970.56/9,619.56 = 3,986.67/x
  3. Step 3: Cross multiply
    6,970.56x = 9,619.56 × 3,986.67
  4. Step 4: Simplify right side
    6,970.56x = 38,350,011.27
  5. Step 5: Solve for x
    x = 38,350,011.27/6,970.56
  6. Step 6: Final answer
    x = 5,501.71

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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.