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Finding the Fourth Proportional to 8,077.65, 12,116.54 and 2,234.71

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Solution

The fourth proportional to 8,077.65, 12,116.54 and 2,234.71 is: 3,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.65 : 12,116.54 = 2,234.71 : x
  2. Step 2: Convert to fraction form
    8,077.65/12,116.54 = 2,234.71/x
  3. Step 3: Cross multiply
    8,077.65x = 12,116.54 × 2,234.71
  4. Step 4: Simplify right side
    8,077.65x = 27,076,953.10
  5. Step 5: Solve for x
    x = 27,076,953.10/8,077.65
  6. Step 6: Final answer
    x = 3,352.08

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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.