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Finding the Fourth Proportional to 8,210.71, 12,310.44 and 2,945.61

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Solution

The fourth proportional to 8,210.71, 12,310.44 and 2,945.61 is: 4,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.71 : 12,310.44 = 2,945.61 : x
  2. Step 2: Convert to fraction form
    8,210.71/12,310.44 = 2,945.61/x
  3. Step 3: Cross multiply
    8,210.71x = 12,310.44 × 2,945.61
  4. Step 4: Simplify right side
    8,210.71x = 36,261,755.17
  5. Step 5: Solve for x
    x = 36,261,755.17/8,210.71
  6. Step 6: Final answer
    x = 4,416.40

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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.