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Finding the Fourth Proportional to 13,029.74, 17,981.03 and 7,061.41

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Solution

The fourth proportional to 13,029.74, 17,981.03 and 7,061.41 is: 9,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.74 : 17,981.03 = 7,061.41 : x
  2. Step 2: Convert to fraction form
    13,029.74/17,981.03 = 7,061.41/x
  3. Step 3: Cross multiply
    13,029.74x = 17,981.03 × 7,061.41
  4. Step 4: Simplify right side
    13,029.74x = 126,971,377.28
  5. Step 5: Solve for x
    x = 126,971,377.28/13,029.74
  6. Step 6: Final answer
    x = 9,744.74

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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.