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Finding the Fourth Proportional to 8,205.75, 11,323.94 and 4,671

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Solution

The fourth proportional to 8,205.75, 11,323.94 and 4,671 is: 6,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.75 : 11,323.94 = 4,671 : x
  2. Step 2: Convert to fraction form
    8,205.75/11,323.94 = 4,671/x
  3. Step 3: Cross multiply
    8,205.75x = 11,323.94 × 4,671
  4. Step 4: Simplify right side
    8,205.75x = 52,894,100.39
  5. Step 5: Solve for x
    x = 52,894,100.39/8,205.75
  6. Step 6: Final answer
    x = 6,445.98

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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.