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Finding the Fourth Proportional to 8,191.94, 11,304.94 and 4,655.36

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Solution

The fourth proportional to 8,191.94, 11,304.94 and 4,655.36 is: 6,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.94 : 11,304.94 = 4,655.36 : x
  2. Step 2: Convert to fraction form
    8,191.94/11,304.94 = 4,655.36/x
  3. Step 3: Cross multiply
    8,191.94x = 11,304.94 × 4,655.36
  4. Step 4: Simplify right side
    8,191.94x = 52,628,565.48
  5. Step 5: Solve for x
    x = 52,628,565.48/8,191.94
  6. Step 6: Final answer
    x = 6,424.43

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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.