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Finding the Fourth Proportional to 9,714.43, 14,571.29 and 3,140.44

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Solution

The fourth proportional to 9,714.43, 14,571.29 and 3,140.44 is: 4,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.43 : 14,571.29 = 3,140.44 : x
  2. Step 2: Convert to fraction form
    9,714.43/14,571.29 = 3,140.44/x
  3. Step 3: Cross multiply
    9,714.43x = 14,571.29 × 3,140.44
  4. Step 4: Simplify right side
    9,714.43x = 45,760,233.39
  5. Step 5: Solve for x
    x = 45,760,233.39/9,714.43
  6. Step 6: Final answer
    x = 4,710.54

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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.