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Finding the Fourth Proportional to 13,014.90, 17,960.53 and 7,046.57

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Solution

The fourth proportional to 13,014.90, 17,960.53 and 7,046.57 is: 9,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.90 : 17,960.53 = 7,046.57 : x
  2. Step 2: Convert to fraction form
    13,014.90/17,960.53 = 7,046.57/x
  3. Step 3: Cross multiply
    13,014.90x = 17,960.53 × 7,046.57
  4. Step 4: Simplify right side
    13,014.90x = 126,560,006.85
  5. Step 5: Solve for x
    x = 126,560,006.85/13,014.90
  6. Step 6: Final answer
    x = 9,724.24

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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.