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Finding the Fourth Proportional to 6,427.96, 9,642.56 and 2,678.96

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Solution

The fourth proportional to 6,427.96, 9,642.56 and 2,678.96 is: 4,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.96 : 9,642.56 = 2,678.96 : x
  2. Step 2: Convert to fraction form
    6,427.96/9,642.56 = 2,678.96/x
  3. Step 3: Cross multiply
    6,427.96x = 9,642.56 × 2,678.96
  4. Step 4: Simplify right side
    6,427.96x = 25,832,032.54
  5. Step 5: Solve for x
    x = 25,832,032.54/6,427.96
  6. Step 6: Final answer
    x = 4,018.70

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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.