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Finding the Fourth Proportional to 13,029.75, 17,982.54 and 7,366.77

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Solution

The fourth proportional to 13,029.75, 17,982.54 and 7,366.77 is: 10,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.75 : 17,982.54 = 7,366.77 : x
  2. Step 2: Convert to fraction form
    13,029.75/17,982.54 = 7,366.77/x
  3. Step 3: Cross multiply
    13,029.75x = 17,982.54 × 7,366.77
  4. Step 4: Simplify right side
    13,029.75x = 132,473,236.20
  5. Step 5: Solve for x
    x = 132,473,236.20/13,029.75
  6. Step 6: Final answer
    x = 10,166.98

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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.