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Finding the Fourth Proportional to 13,820.34, 19,072.14 and 7,852.34

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Solution

The fourth proportional to 13,820.34, 19,072.14 and 7,852.34 is: 10,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.34 : 19,072.14 = 7,852.34 : x
  2. Step 2: Convert to fraction form
    13,820.34/19,072.14 = 7,852.34/x
  3. Step 3: Cross multiply
    13,820.34x = 19,072.14 × 7,852.34
  4. Step 4: Simplify right side
    13,820.34x = 149,760,832.45
  5. Step 5: Solve for x
    x = 149,760,832.45/13,820.34
  6. Step 6: Final answer
    x = 10,836.26

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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.