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Finding the Fourth Proportional to 8,051.40, 12,077.10 and 3,894.60

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Solution

The fourth proportional to 8,051.40, 12,077.10 and 3,894.60 is: 5,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.40 : 12,077.10 = 3,894.60 : x
  2. Step 2: Convert to fraction form
    8,051.40/12,077.10 = 3,894.60/x
  3. Step 3: Cross multiply
    8,051.40x = 12,077.10 × 3,894.60
  4. Step 4: Simplify right side
    8,051.40x = 47,035,473.66
  5. Step 5: Solve for x
    x = 47,035,473.66/8,051.40
  6. Step 6: Final answer
    x = 5,841.90

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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.