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Finding the Fourth Proportional to 12,205.01, 16,842.70 and 6,827.57

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Solution

The fourth proportional to 12,205.01, 16,842.70 and 6,827.57 is: 9,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.01 : 16,842.70 = 6,827.57 : x
  2. Step 2: Convert to fraction form
    12,205.01/16,842.70 = 6,827.57/x
  3. Step 3: Cross multiply
    12,205.01x = 16,842.70 × 6,827.57
  4. Step 4: Simplify right side
    12,205.01x = 114,994,611.96
  5. Step 5: Solve for x
    x = 114,994,611.96/12,205.01
  6. Step 6: Final answer
    x = 9,421.92

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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.