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Finding the Fourth Proportional to 12,078.86, 16,672.97 and 7,301.48

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Solution

The fourth proportional to 12,078.86, 16,672.97 and 7,301.48 is: 10,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.86 : 16,672.97 = 7,301.48 : x
  2. Step 2: Convert to fraction form
    12,078.86/16,672.97 = 7,301.48/x
  3. Step 3: Cross multiply
    12,078.86x = 16,672.97 × 7,301.48
  4. Step 4: Simplify right side
    12,078.86x = 121,737,362.17
  5. Step 5: Solve for x
    x = 121,737,362.17/12,078.86
  6. Step 6: Final answer
    x = 10,078.55

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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.