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Finding the Fourth Proportional to 13,001.92, 17,942.58 and 7,033.54

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Solution

The fourth proportional to 13,001.92, 17,942.58 and 7,033.54 is: 9,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.92 : 17,942.58 = 7,033.54 : x
  2. Step 2: Convert to fraction form
    13,001.92/17,942.58 = 7,033.54/x
  3. Step 3: Cross multiply
    13,001.92x = 17,942.58 × 7,033.54
  4. Step 4: Simplify right side
    13,001.92x = 126,199,854.13
  5. Step 5: Solve for x
    x = 126,199,854.13/13,001.92
  6. Step 6: Final answer
    x = 9,706.25

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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.