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Finding the Fourth Proportional to 9,993.94, 14,989.41 and 6,284.86

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Solution

The fourth proportional to 9,993.94, 14,989.41 and 6,284.86 is: 9,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.94 : 14,989.41 = 6,284.86 : x
  2. Step 2: Convert to fraction form
    9,993.94/14,989.41 = 6,284.86/x
  3. Step 3: Cross multiply
    9,993.94x = 14,989.41 × 6,284.86
  4. Step 4: Simplify right side
    9,993.94x = 94,206,343.33
  5. Step 5: Solve for x
    x = 94,206,343.33/9,993.94
  6. Step 6: Final answer
    x = 9,426.35

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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.