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Finding the Fourth Proportional to 7,809.32, 11,713.98 and 3,192.32

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Solution

The fourth proportional to 7,809.32, 11,713.98 and 3,192.32 is: 4,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.32 : 11,713.98 = 3,192.32 : x
  2. Step 2: Convert to fraction form
    7,809.32/11,713.98 = 3,192.32/x
  3. Step 3: Cross multiply
    7,809.32x = 11,713.98 × 3,192.32
  4. Step 4: Simplify right side
    7,809.32x = 37,394,714.06
  5. Step 5: Solve for x
    x = 37,394,714.06/7,809.32
  6. Step 6: Final answer
    x = 4,788.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.