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Finding the Fourth Proportional to 11,604.71, 16,014.41 and 6,299.42

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Solution

The fourth proportional to 11,604.71, 16,014.41 and 6,299.42 is: 8,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.71 : 16,014.41 = 6,299.42 : x
  2. Step 2: Convert to fraction form
    11,604.71/16,014.41 = 6,299.42/x
  3. Step 3: Cross multiply
    11,604.71x = 16,014.41 × 6,299.42
  4. Step 4: Simplify right side
    11,604.71x = 100,881,383.07
  5. Step 5: Solve for x
    x = 100,881,383.07/11,604.71
  6. Step 6: Final answer
    x = 8,693.14

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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.