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Finding the Fourth Proportional to 11,665.63, 16,098.57 and 7,473.88

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Solution

The fourth proportional to 11,665.63, 16,098.57 and 7,473.88 is: 10,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.63 : 16,098.57 = 7,473.88 : x
  2. Step 2: Convert to fraction form
    11,665.63/16,098.57 = 7,473.88/x
  3. Step 3: Cross multiply
    11,665.63x = 16,098.57 × 7,473.88
  4. Step 4: Simplify right side
    11,665.63x = 120,318,662.49
  5. Step 5: Solve for x
    x = 120,318,662.49/11,665.63
  6. Step 6: Final answer
    x = 10,313.95

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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.