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Finding the Fourth Proportional to 11,800.16, 17,696.64 and 9,951.92

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Solution

The fourth proportional to 11,800.16, 17,696.64 and 9,951.92 is: 14,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.16 : 17,696.64 = 9,951.92 : x
  2. Step 2: Convert to fraction form
    11,800.16/17,696.64 = 9,951.92/x
  3. Step 3: Cross multiply
    11,800.16x = 17,696.64 × 9,951.92
  4. Step 4: Simplify right side
    11,800.16x = 176,115,545.55
  5. Step 5: Solve for x
    x = 176,115,545.55/11,800.16
  6. Step 6: Final answer
    x = 14,924.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.