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Finding the Fourth Proportional to 6,914.54, 9,538.62 and 4,555.82

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Solution

The fourth proportional to 6,914.54, 9,538.62 and 4,555.82 is: 6,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.54 : 9,538.62 = 4,555.82 : x
  2. Step 2: Convert to fraction form
    6,914.54/9,538.62 = 4,555.82/x
  3. Step 3: Cross multiply
    6,914.54x = 9,538.62 × 4,555.82
  4. Step 4: Simplify right side
    6,914.54x = 43,456,235.77
  5. Step 5: Solve for x
    x = 43,456,235.77/6,914.54
  6. Step 6: Final answer
    x = 6,284.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.