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Finding the Fourth Proportional to 8,454.30, 11,667.74 and 4,869.41

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Solution

The fourth proportional to 8,454.30, 11,667.74 and 4,869.41 is: 6,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.30 : 11,667.74 = 4,869.41 : x
  2. Step 2: Convert to fraction form
    8,454.30/11,667.74 = 4,869.41/x
  3. Step 3: Cross multiply
    8,454.30x = 11,667.74 × 4,869.41
  4. Step 4: Simplify right side
    8,454.30x = 56,814,927.15
  5. Step 5: Solve for x
    x = 56,814,927.15/8,454.30
  6. Step 6: Final answer
    x = 6,720.24

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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.