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Finding the Fourth Proportional to 13,015.96, 17,962.02 and 7,047.63

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Solution

The fourth proportional to 13,015.96, 17,962.02 and 7,047.63 is: 9,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.96 : 17,962.02 = 7,047.63 : x
  2. Step 2: Convert to fraction form
    13,015.96/17,962.02 = 7,047.63/x
  3. Step 3: Cross multiply
    13,015.96x = 17,962.02 × 7,047.63
  4. Step 4: Simplify right side
    13,015.96x = 126,589,671.01
  5. Step 5: Solve for x
    x = 126,589,671.01/13,015.96
  6. Step 6: Final answer
    x = 9,725.73

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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.