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Finding the Fourth Proportional to 8,454.41, 12,667.29 and 5,977.13

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Solution

The fourth proportional to 8,454.41, 12,667.29 and 5,977.13 is: 8,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.41 : 12,667.29 = 5,977.13 : x
  2. Step 2: Convert to fraction form
    8,454.41/12,667.29 = 5,977.13/x
  3. Step 3: Cross multiply
    8,454.41x = 12,667.29 × 5,977.13
  4. Step 4: Simplify right side
    8,454.41x = 75,713,953.33
  5. Step 5: Solve for x
    x = 75,713,953.33/8,454.41
  6. Step 6: Final answer
    x = 8,955.56

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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.