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Finding the Fourth Proportional to 14,905.25, 20,573.57 and 9,937.25

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Solution

The fourth proportional to 14,905.25, 20,573.57 and 9,937.25 is: 13,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.25 : 20,573.57 = 9,937.25 : x
  2. Step 2: Convert to fraction form
    14,905.25/20,573.57 = 9,937.25/x
  3. Step 3: Cross multiply
    14,905.25x = 20,573.57 × 9,937.25
  4. Step 4: Simplify right side
    14,905.25x = 204,444,658.80
  5. Step 5: Solve for x
    x = 204,444,658.80/14,905.25
  6. Step 6: Final answer
    x = 13,716.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.