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Finding the Fourth Proportional to 13,952.32, 19,260.82 and 7,982.82

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Solution

The fourth proportional to 13,952.32, 19,260.82 and 7,982.82 is: 11,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.32 : 19,260.82 = 7,982.82 : x
  2. Step 2: Convert to fraction form
    13,952.32/19,260.82 = 7,982.82/x
  3. Step 3: Cross multiply
    13,952.32x = 19,260.82 × 7,982.82
  4. Step 4: Simplify right side
    13,952.32x = 153,755,659.11
  5. Step 5: Solve for x
    x = 153,755,659.11/13,952.32
  6. Step 6: Final answer
    x = 11,020.08

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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.