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Finding the Fourth Proportional to 12,683.44, 17,503.16 and 7,018.42

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Solution

The fourth proportional to 12,683.44, 17,503.16 and 7,018.42 is: 9,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.44 : 17,503.16 = 7,018.42 : x
  2. Step 2: Convert to fraction form
    12,683.44/17,503.16 = 7,018.42/x
  3. Step 3: Cross multiply
    12,683.44x = 17,503.16 × 7,018.42
  4. Step 4: Simplify right side
    12,683.44x = 122,844,558.86
  5. Step 5: Solve for x
    x = 122,844,558.86/12,683.44
  6. Step 6: Final answer
    x = 9,685.43

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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.