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Finding the Fourth Proportional to 6,323.44, 9,484.38 and 1,943.92

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Solution

The fourth proportional to 6,323.44, 9,484.38 and 1,943.92 is: 2,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.44 : 9,484.38 = 1,943.92 : x
  2. Step 2: Convert to fraction form
    6,323.44/9,484.38 = 1,943.92/x
  3. Step 3: Cross multiply
    6,323.44x = 9,484.38 × 1,943.92
  4. Step 4: Simplify right side
    6,323.44x = 18,436,875.97
  5. Step 5: Solve for x
    x = 18,436,875.97/6,323.44
  6. Step 6: Final answer
    x = 2,915.64

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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.