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Finding the Fourth Proportional to 11,963.88, 16,509.80 and 6,658.58

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Solution

The fourth proportional to 11,963.88, 16,509.80 and 6,658.58 is: 9,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.88 : 16,509.80 = 6,658.58 : x
  2. Step 2: Convert to fraction form
    11,963.88/16,509.80 = 6,658.58/x
  3. Step 3: Cross multiply
    11,963.88x = 16,509.80 × 6,658.58
  4. Step 4: Simplify right side
    11,963.88x = 109,931,708.24
  5. Step 5: Solve for x
    x = 109,931,708.24/11,963.88
  6. Step 6: Final answer
    x = 9,188.64

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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.