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Finding the Fourth Proportional to 7,847.46, 10,827.05 and 4,490.06

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Solution

The fourth proportional to 7,847.46, 10,827.05 and 4,490.06 is: 6,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.46 : 10,827.05 = 4,490.06 : x
  2. Step 2: Convert to fraction form
    7,847.46/10,827.05 = 4,490.06/x
  3. Step 3: Cross multiply
    7,847.46x = 10,827.05 × 4,490.06
  4. Step 4: Simplify right side
    7,847.46x = 48,614,027.54
  5. Step 5: Solve for x
    x = 48,614,027.54/7,847.46
  6. Step 6: Final answer
    x = 6,194.87

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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.