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Finding the Fourth Proportional to 13,020.51, 17,968.39 and 7,052.25

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Solution

The fourth proportional to 13,020.51, 17,968.39 and 7,052.25 is: 9,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.51 : 17,968.39 = 7,052.25 : x
  2. Step 2: Convert to fraction form
    13,020.51/17,968.39 = 7,052.25/x
  3. Step 3: Cross multiply
    13,020.51x = 17,968.39 × 7,052.25
  4. Step 4: Simplify right side
    13,020.51x = 126,717,560.75
  5. Step 5: Solve for x
    x = 126,717,560.75/13,020.51
  6. Step 6: Final answer
    x = 9,732.15

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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.