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Finding the Fourth Proportional to 8,203.75, 12,302.58 and 2,655.65

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Solution

The fourth proportional to 8,203.75, 12,302.58 and 2,655.65 is: 3,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.75 : 12,302.58 = 2,655.65 : x
  2. Step 2: Convert to fraction form
    8,203.75/12,302.58 = 2,655.65/x
  3. Step 3: Cross multiply
    8,203.75x = 12,302.58 × 2,655.65
  4. Step 4: Simplify right side
    8,203.75x = 32,671,346.58
  5. Step 5: Solve for x
    x = 32,671,346.58/8,203.75
  6. Step 6: Final answer
    x = 3,982.49

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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.