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Finding the Fourth Proportional to 8,077.42, 12,092.63 and 4,947.92

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Solution

The fourth proportional to 8,077.42, 12,092.63 and 4,947.92 is: 7,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.42 : 12,092.63 = 4,947.92 : x
  2. Step 2: Convert to fraction form
    8,077.42/12,092.63 = 4,947.92/x
  3. Step 3: Cross multiply
    8,077.42x = 12,092.63 × 4,947.92
  4. Step 4: Simplify right side
    8,077.42x = 59,833,305.37
  5. Step 5: Solve for x
    x = 59,833,305.37/8,077.42
  6. Step 6: Final answer
    x = 7,407.48

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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.