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Finding the Fourth Proportional to 13,534.25, 18,679.07 and 7,945.25

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Solution

The fourth proportional to 13,534.25, 18,679.07 and 7,945.25 is: 10,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.25 : 18,679.07 = 7,945.25 : x
  2. Step 2: Convert to fraction form
    13,534.25/18,679.07 = 7,945.25/x
  3. Step 3: Cross multiply
    13,534.25x = 18,679.07 × 7,945.25
  4. Step 4: Simplify right side
    13,534.25x = 148,409,841.19
  5. Step 5: Solve for x
    x = 148,409,841.19/13,534.25
  6. Step 6: Final answer
    x = 10,965.50

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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.