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Finding the Fourth Proportional to 13,029.94, 17,981.22 and 7,061.68

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Solution

The fourth proportional to 13,029.94, 17,981.22 and 7,061.68 is: 9,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.94 : 17,981.22 = 7,061.68 : x
  2. Step 2: Convert to fraction form
    13,029.94/17,981.22 = 7,061.68/x
  3. Step 3: Cross multiply
    13,029.94x = 17,981.22 × 7,061.68
  4. Step 4: Simplify right side
    13,029.94x = 126,977,621.65
  5. Step 5: Solve for x
    x = 126,977,621.65/13,029.94
  6. Step 6: Final answer
    x = 9,745.07

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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.