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Finding the Fourth Proportional to 13,175, 19,755.68 and 4,852.12

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Solution

The fourth proportional to 13,175, 19,755.68 and 4,852.12 is: 7,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175 : 19,755.68 = 4,852.12 : x
  2. Step 2: Convert to fraction form
    13,175/19,755.68 = 4,852.12/x
  3. Step 3: Cross multiply
    13,175x = 19,755.68 × 4,852.12
  4. Step 4: Simplify right side
    13,175x = 95,856,930.04
  5. Step 5: Solve for x
    x = 95,856,930.04/13,175
  6. Step 6: Final answer
    x = 7,275.67

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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.