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Finding the Fourth Proportional to 11,496.80, 17,214.96 and 8,901.92

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Solution

The fourth proportional to 11,496.80, 17,214.96 and 8,901.92 is: 13,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.80 : 17,214.96 = 8,901.92 : x
  2. Step 2: Convert to fraction form
    11,496.80/17,214.96 = 8,901.92/x
  3. Step 3: Cross multiply
    11,496.80x = 17,214.96 × 8,901.92
  4. Step 4: Simplify right side
    11,496.80x = 153,246,196.72
  5. Step 5: Solve for x
    x = 153,246,196.72/11,496.80
  6. Step 6: Final answer
    x = 13,329.47

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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.