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Finding the Fourth Proportional to 6,323.69, 9,485.19 and 1,941.15

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Solution

The fourth proportional to 6,323.69, 9,485.19 and 1,941.15 is: 2,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.69 : 9,485.19 = 1,941.15 : x
  2. Step 2: Convert to fraction form
    6,323.69/9,485.19 = 1,941.15/x
  3. Step 3: Cross multiply
    6,323.69x = 9,485.19 × 1,941.15
  4. Step 4: Simplify right side
    6,323.69x = 18,412,176.57
  5. Step 5: Solve for x
    x = 18,412,176.57/6,323.69
  6. Step 6: Final answer
    x = 2,911.62

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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.