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Finding the Fourth Proportional to 11,894.87, 17,826.54 and 6,336.24

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Solution

The fourth proportional to 11,894.87, 17,826.54 and 6,336.24 is: 9,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.87 : 17,826.54 = 6,336.24 : x
  2. Step 2: Convert to fraction form
    11,894.87/17,826.54 = 6,336.24/x
  3. Step 3: Cross multiply
    11,894.87x = 17,826.54 × 6,336.24
  4. Step 4: Simplify right side
    11,894.87x = 112,953,235.81
  5. Step 5: Solve for x
    x = 112,953,235.81/11,894.87
  6. Step 6: Final answer
    x = 9,495.97

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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.