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Finding the Fourth Proportional to 11,963.64, 16,507.80 and 6,658.32

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Solution

The fourth proportional to 11,963.64, 16,507.80 and 6,658.32 is: 9,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.64 : 16,507.80 = 6,658.32 : x
  2. Step 2: Convert to fraction form
    11,963.64/16,507.80 = 6,658.32/x
  3. Step 3: Cross multiply
    11,963.64x = 16,507.80 × 6,658.32
  4. Step 4: Simplify right side
    11,963.64x = 109,914,214.90
  5. Step 5: Solve for x
    x = 109,914,214.90/11,963.64
  6. Step 6: Final answer
    x = 9,187.36

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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.