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Finding the Fourth Proportional to 12,614.44, 17,407.93 and 7,025.44

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Solution

The fourth proportional to 12,614.44, 17,407.93 and 7,025.44 is: 9,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.44 : 17,407.93 = 7,025.44 : x
  2. Step 2: Convert to fraction form
    12,614.44/17,407.93 = 7,025.44/x
  3. Step 3: Cross multiply
    12,614.44x = 17,407.93 × 7,025.44
  4. Step 4: Simplify right side
    12,614.44x = 122,298,289.09
  5. Step 5: Solve for x
    x = 122,298,289.09/12,614.44
  6. Step 6: Final answer
    x = 9,695.10

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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.