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Finding the Fourth Proportional to 11,866, 16,374.81 and 6,560.86

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Solution

The fourth proportional to 11,866, 16,374.81 and 6,560.86 is: 9,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866 : 16,374.81 = 6,560.86 : x
  2. Step 2: Convert to fraction form
    11,866/16,374.81 = 6,560.86/x
  3. Step 3: Cross multiply
    11,866x = 16,374.81 × 6,560.86
  4. Step 4: Simplify right side
    11,866x = 107,432,835.94
  5. Step 5: Solve for x
    x = 107,432,835.94/11,866
  6. Step 6: Final answer
    x = 9,053.84

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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.