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Finding the Fourth Proportional to 17,706.17, 26,577.72 and 7,852.37

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Solution

The fourth proportional to 17,706.17, 26,577.72 and 7,852.37 is: 11,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.17 : 26,577.72 = 7,852.37 : x
  2. Step 2: Convert to fraction form
    17,706.17/26,577.72 = 7,852.37/x
  3. Step 3: Cross multiply
    17,706.17x = 26,577.72 × 7,852.37
  4. Step 4: Simplify right side
    17,706.17x = 208,698,033.06
  5. Step 5: Solve for x
    x = 208,698,033.06/17,706.17
  6. Step 6: Final answer
    x = 11,786.74

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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.