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Finding the Fourth Proportional to 13,005.56, 17,947.68 and 7,416.56

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Solution

The fourth proportional to 13,005.56, 17,947.68 and 7,416.56 is: 10,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.56 : 17,947.68 = 7,416.56 : x
  2. Step 2: Convert to fraction form
    13,005.56/17,947.68 = 7,416.56/x
  3. Step 3: Cross multiply
    13,005.56x = 17,947.68 × 7,416.56
  4. Step 4: Simplify right side
    13,005.56x = 133,110,062.64
  5. Step 5: Solve for x
    x = 133,110,062.64/13,005.56
  6. Step 6: Final answer
    x = 10,234.86

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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.