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Finding the Fourth Proportional to 11,641.86, 16,065.78 and 6,336.66

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Solution

The fourth proportional to 11,641.86, 16,065.78 and 6,336.66 is: 8,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.86 : 16,065.78 = 6,336.66 : x
  2. Step 2: Convert to fraction form
    11,641.86/16,065.78 = 6,336.66/x
  3. Step 3: Cross multiply
    11,641.86x = 16,065.78 × 6,336.66
  4. Step 4: Simplify right side
    11,641.86x = 101,803,385.49
  5. Step 5: Solve for x
    x = 101,803,385.49/11,641.86
  6. Step 6: Final answer
    x = 8,744.60

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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.