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Finding the Fourth Proportional to 12,596.43, 18,894.53 and 7,667.43

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Solution

The fourth proportional to 12,596.43, 18,894.53 and 7,667.43 is: 11,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.43 : 18,894.53 = 7,667.43 : x
  2. Step 2: Convert to fraction form
    12,596.43/18,894.53 = 7,667.43/x
  3. Step 3: Cross multiply
    12,596.43x = 18,894.53 × 7,667.43
  4. Step 4: Simplify right side
    12,596.43x = 144,872,447.82
  5. Step 5: Solve for x
    x = 144,872,447.82/12,596.43
  6. Step 6: Final answer
    x = 11,501.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.