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Finding the Fourth Proportional to 8,523.14, 11,761.10 and 4,985.66

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Solution

The fourth proportional to 8,523.14, 11,761.10 and 4,985.66 is: 6,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.14 : 11,761.10 = 4,985.66 : x
  2. Step 2: Convert to fraction form
    8,523.14/11,761.10 = 4,985.66/x
  3. Step 3: Cross multiply
    8,523.14x = 11,761.10 × 4,985.66
  4. Step 4: Simplify right side
    8,523.14x = 58,636,845.83
  5. Step 5: Solve for x
    x = 58,636,845.83/8,523.14
  6. Step 6: Final answer
    x = 6,879.72

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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.