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Finding the Fourth Proportional to 13,014.70, 17,960.29 and 7,046.42

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Solution

The fourth proportional to 13,014.70, 17,960.29 and 7,046.42 is: 9,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.70 : 17,960.29 = 7,046.42 : x
  2. Step 2: Convert to fraction form
    13,014.70/17,960.29 = 7,046.42/x
  3. Step 3: Cross multiply
    13,014.70x = 17,960.29 × 7,046.42
  4. Step 4: Simplify right side
    13,014.70x = 126,555,639.24
  5. Step 5: Solve for x
    x = 126,555,639.24/13,014.70
  6. Step 6: Final answer
    x = 9,724.06

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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.