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Finding the Fourth Proportional to 13,029.67, 17,980.92 and 7,061.50

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Solution

The fourth proportional to 13,029.67, 17,980.92 and 7,061.50 is: 9,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.67 : 17,980.92 = 7,061.50 : x
  2. Step 2: Convert to fraction form
    13,029.67/17,980.92 = 7,061.50/x
  3. Step 3: Cross multiply
    13,029.67x = 17,980.92 × 7,061.50
  4. Step 4: Simplify right side
    13,029.67x = 126,972,266.58
  5. Step 5: Solve for x
    x = 126,972,266.58/13,029.67
  6. Step 6: Final answer
    x = 9,744.86

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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.