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Finding the Fourth Proportional to 13,015.92, 17,962.00 and 7,047.56

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Solution

The fourth proportional to 13,015.92, 17,962.00 and 7,047.56 is: 9,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.92 : 17,962.00 = 7,047.56 : x
  2. Step 2: Convert to fraction form
    13,015.92/17,962.00 = 7,047.56/x
  3. Step 3: Cross multiply
    13,015.92x = 17,962.00 × 7,047.56
  4. Step 4: Simplify right side
    13,015.92x = 126,588,238.61
  5. Step 5: Solve for x
    x = 126,588,238.61/13,015.92
  6. Step 6: Final answer
    x = 9,725.65

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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.