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Finding the Fourth Proportional to 13,013, 17,953.04 and 8,539.22

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Solution

The fourth proportional to 13,013, 17,953.04 and 8,539.22 is: 11,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013 : 17,953.04 = 8,539.22 : x
  2. Step 2: Convert to fraction form
    13,013/17,953.04 = 8,539.22/x
  3. Step 3: Cross multiply
    13,013x = 17,953.04 × 8,539.22
  4. Step 4: Simplify right side
    13,013x = 153,304,958.23
  5. Step 5: Solve for x
    x = 153,304,958.23/13,013
  6. Step 6: Final answer
    x = 11,780.91

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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.