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Finding the Fourth Proportional to 12,203.73, 18,289.59 and 6,941.16

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Solution

The fourth proportional to 12,203.73, 18,289.59 and 6,941.16 is: 10,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.73 : 18,289.59 = 6,941.16 : x
  2. Step 2: Convert to fraction form
    12,203.73/18,289.59 = 6,941.16/x
  3. Step 3: Cross multiply
    12,203.73x = 18,289.59 × 6,941.16
  4. Step 4: Simplify right side
    12,203.73x = 126,950,970.52
  5. Step 5: Solve for x
    x = 126,950,970.52/12,203.73
  6. Step 6: Final answer
    x = 10,402.64

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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.