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Finding the Fourth Proportional to 13,015.45, 17,961.27 and 7,047.22

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Solution

The fourth proportional to 13,015.45, 17,961.27 and 7,047.22 is: 9,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.45 : 17,961.27 = 7,047.22 : x
  2. Step 2: Convert to fraction form
    13,015.45/17,961.27 = 7,047.22/x
  3. Step 3: Cross multiply
    13,015.45x = 17,961.27 × 7,047.22
  4. Step 4: Simplify right side
    13,015.45x = 126,577,021.17
  5. Step 5: Solve for x
    x = 126,577,021.17/13,015.45
  6. Step 6: Final answer
    x = 9,725.14

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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.