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Finding the Fourth Proportional to 6,866.40, 9,471.96 and 4,178.43

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Solution

The fourth proportional to 6,866.40, 9,471.96 and 4,178.43 is: 5,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.40 : 9,471.96 = 4,178.43 : x
  2. Step 2: Convert to fraction form
    6,866.40/9,471.96 = 4,178.43/x
  3. Step 3: Cross multiply
    6,866.40x = 9,471.96 × 4,178.43
  4. Step 4: Simplify right side
    6,866.40x = 39,577,921.82
  5. Step 5: Solve for x
    x = 39,577,921.82/6,866.40
  6. Step 6: Final answer
    x = 5,764.00

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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.