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Finding the Fourth Proportional to 9,893.21, 14,816.25 and 5,724.43

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Solution

The fourth proportional to 9,893.21, 14,816.25 and 5,724.43 is: 8,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.21 : 14,816.25 = 5,724.43 : x
  2. Step 2: Convert to fraction form
    9,893.21/14,816.25 = 5,724.43/x
  3. Step 3: Cross multiply
    9,893.21x = 14,816.25 × 5,724.43
  4. Step 4: Simplify right side
    9,893.21x = 84,814,548.95
  5. Step 5: Solve for x
    x = 84,814,548.95/9,893.21
  6. Step 6: Final answer
    x = 8,573.01

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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.