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Finding the Fourth Proportional to 9,786.29, 13,492.47 and 7,992.03

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Solution

The fourth proportional to 9,786.29, 13,492.47 and 7,992.03 is: 11,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.29 : 13,492.47 = 7,992.03 : x
  2. Step 2: Convert to fraction form
    9,786.29/13,492.47 = 7,992.03/x
  3. Step 3: Cross multiply
    9,786.29x = 13,492.47 × 7,992.03
  4. Step 4: Simplify right side
    9,786.29x = 107,832,305.58
  5. Step 5: Solve for x
    x = 107,832,305.58/9,786.29
  6. Step 6: Final answer
    x = 11,018.72

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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.