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Finding the Fourth Proportional to 11,838.40, 17,754.06 and 9,753.23

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Solution

The fourth proportional to 11,838.40, 17,754.06 and 9,753.23 is: 14,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.40 : 17,754.06 = 9,753.23 : x
  2. Step 2: Convert to fraction form
    11,838.40/17,754.06 = 9,753.23/x
  3. Step 3: Cross multiply
    11,838.40x = 17,754.06 × 9,753.23
  4. Step 4: Simplify right side
    11,838.40x = 173,159,511.57
  5. Step 5: Solve for x
    x = 173,159,511.57/11,838.40
  6. Step 6: Final answer
    x = 14,626.94

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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.