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Finding the Fourth Proportional to 6,278.14, 9,415.92 and 5,965.90

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Solution

The fourth proportional to 6,278.14, 9,415.92 and 5,965.90 is: 8,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.14 : 9,415.92 = 5,965.90 : x
  2. Step 2: Convert to fraction form
    6,278.14/9,415.92 = 5,965.90/x
  3. Step 3: Cross multiply
    6,278.14x = 9,415.92 × 5,965.90
  4. Step 4: Simplify right side
    6,278.14x = 56,174,437.13
  5. Step 5: Solve for x
    x = 56,174,437.13/6,278.14
  6. Step 6: Final answer
    x = 8,947.62

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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.