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Finding the Fourth Proportional to 13,706.52, 18,914.94 and 7,738.12

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Solution

The fourth proportional to 13,706.52, 18,914.94 and 7,738.12 is: 10,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.52 : 18,914.94 = 7,738.12 : x
  2. Step 2: Convert to fraction form
    13,706.52/18,914.94 = 7,738.12/x
  3. Step 3: Cross multiply
    13,706.52x = 18,914.94 × 7,738.12
  4. Step 4: Simplify right side
    13,706.52x = 146,366,075.51
  5. Step 5: Solve for x
    x = 146,366,075.51/13,706.52
  6. Step 6: Final answer
    x = 10,678.57

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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.