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Finding the Fourth Proportional to 11,963.08, 16,507.08 and 6,657.76

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Solution

The fourth proportional to 11,963.08, 16,507.08 and 6,657.76 is: 9,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.08 : 16,507.08 = 6,657.76 : x
  2. Step 2: Convert to fraction form
    11,963.08/16,507.08 = 6,657.76/x
  3. Step 3: Cross multiply
    11,963.08x = 16,507.08 × 6,657.76
  4. Step 4: Simplify right side
    11,963.08x = 109,900,176.94
  5. Step 5: Solve for x
    x = 109,900,176.94/11,963.08
  6. Step 6: Final answer
    x = 9,186.61

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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.