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Finding the Fourth Proportional to 6,331.74, 9,496.88 and 1,714.38

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Solution

The fourth proportional to 6,331.74, 9,496.88 and 1,714.38 is: 2,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.74 : 9,496.88 = 1,714.38 : x
  2. Step 2: Convert to fraction form
    6,331.74/9,496.88 = 1,714.38/x
  3. Step 3: Cross multiply
    6,331.74x = 9,496.88 × 1,714.38
  4. Step 4: Simplify right side
    6,331.74x = 16,281,261.13
  5. Step 5: Solve for x
    x = 16,281,261.13/6,331.74
  6. Step 6: Final answer
    x = 2,571.37

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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.