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Finding the Fourth Proportional to 10,835.97, 14,951.10 and 6,359.49

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Solution

The fourth proportional to 10,835.97, 14,951.10 and 6,359.49 is: 8,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.97 : 14,951.10 = 6,359.49 : x
  2. Step 2: Convert to fraction form
    10,835.97/14,951.10 = 6,359.49/x
  3. Step 3: Cross multiply
    10,835.97x = 14,951.10 × 6,359.49
  4. Step 4: Simplify right side
    10,835.97x = 95,081,370.94
  5. Step 5: Solve for x
    x = 95,081,370.94/10,835.97
  6. Step 6: Final answer
    x = 8,774.61

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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.