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Finding the Fourth Proportional to 6,346.26, 9,520.29 and 1,965.06

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Solution

The fourth proportional to 6,346.26, 9,520.29 and 1,965.06 is: 2,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.26 : 9,520.29 = 1,965.06 : x
  2. Step 2: Convert to fraction form
    6,346.26/9,520.29 = 1,965.06/x
  3. Step 3: Cross multiply
    6,346.26x = 9,520.29 × 1,965.06
  4. Step 4: Simplify right side
    6,346.26x = 18,707,941.07
  5. Step 5: Solve for x
    x = 18,707,941.07/6,346.26
  6. Step 6: Final answer
    x = 2,947.87

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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.