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Finding the Fourth Proportional to 13,029.90, 17,983.13 and 7,366.38

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Solution

The fourth proportional to 13,029.90, 17,983.13 and 7,366.38 is: 10,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.90 : 17,983.13 = 7,366.38 : x
  2. Step 2: Convert to fraction form
    13,029.90/17,983.13 = 7,366.38/x
  3. Step 3: Cross multiply
    13,029.90x = 17,983.13 × 7,366.38
  4. Step 4: Simplify right side
    13,029.90x = 132,470,532.34
  5. Step 5: Solve for x
    x = 132,470,532.34/13,029.90
  6. Step 6: Final answer
    x = 10,166.66

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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.