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Finding the Fourth Proportional to 11,849.92, 16,346.88 and 7,374.40

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Solution

The fourth proportional to 11,849.92, 16,346.88 and 7,374.40 is: 10,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.92 : 16,346.88 = 7,374.40 : x
  2. Step 2: Convert to fraction form
    11,849.92/16,346.88 = 7,374.40/x
  3. Step 3: Cross multiply
    11,849.92x = 16,346.88 × 7,374.40
  4. Step 4: Simplify right side
    11,849.92x = 120,548,431.87
  5. Step 5: Solve for x
    x = 120,548,431.87/11,849.92
  6. Step 6: Final answer
    x = 10,172.93

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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.