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Finding the Fourth Proportional to 9,714.44, 14,554.92 and 7,647.68

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Solution

The fourth proportional to 9,714.44, 14,554.92 and 7,647.68 is: 11,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.44 : 14,554.92 = 7,647.68 : x
  2. Step 2: Convert to fraction form
    9,714.44/14,554.92 = 7,647.68/x
  3. Step 3: Cross multiply
    9,714.44x = 14,554.92 × 7,647.68
  4. Step 4: Simplify right side
    9,714.44x = 111,311,370.59
  5. Step 5: Solve for x
    x = 111,311,370.59/9,714.44
  6. Step 6: Final answer
    x = 11,458.34

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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.