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Finding the Fourth Proportional to 11,889.82, 16,409.98 and 6,853.14

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Solution

The fourth proportional to 11,889.82, 16,409.98 and 6,853.14 is: 9,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.82 : 16,409.98 = 6,853.14 : x
  2. Step 2: Convert to fraction form
    11,889.82/16,409.98 = 6,853.14/x
  3. Step 3: Cross multiply
    11,889.82x = 16,409.98 × 6,853.14
  4. Step 4: Simplify right side
    11,889.82x = 112,459,890.34
  5. Step 5: Solve for x
    x = 112,459,890.34/11,889.82
  6. Step 6: Final answer
    x = 9,458.50

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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.