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Finding the Fourth Proportional to 13,014.80, 17,960.44 and 7,046.48

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Solution

The fourth proportional to 13,014.80, 17,960.44 and 7,046.48 is: 9,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.80 : 17,960.44 = 7,046.48 : x
  2. Step 2: Convert to fraction form
    13,014.80/17,960.44 = 7,046.48/x
  3. Step 3: Cross multiply
    13,014.80x = 17,960.44 × 7,046.48
  4. Step 4: Simplify right side
    13,014.80x = 126,557,773.83
  5. Step 5: Solve for x
    x = 126,557,773.83/13,014.80
  6. Step 6: Final answer
    x = 9,724.14

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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.