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Finding the Fourth Proportional to 14,573.02, 20,099 and 9,791.52

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Solution

The fourth proportional to 14,573.02, 20,099 and 9,791.52 is: 13,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.02 : 20,099 = 9,791.52 : x
  2. Step 2: Convert to fraction form
    14,573.02/20,099 = 9,791.52/x
  3. Step 3: Cross multiply
    14,573.02x = 20,099 × 9,791.52
  4. Step 4: Simplify right side
    14,573.02x = 196,799,760.48
  5. Step 5: Solve for x
    x = 196,799,760.48/14,573.02
  6. Step 6: Final answer
    x = 13,504.39

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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.