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Finding the Fourth Proportional to 12,097.37, 16,696.21 and 7,384.39

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Solution

The fourth proportional to 12,097.37, 16,696.21 and 7,384.39 is: 10,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.37 : 16,696.21 = 7,384.39 : x
  2. Step 2: Convert to fraction form
    12,097.37/16,696.21 = 7,384.39/x
  3. Step 3: Cross multiply
    12,097.37x = 16,696.21 × 7,384.39
  4. Step 4: Simplify right side
    12,097.37x = 123,291,289.24
  5. Step 5: Solve for x
    x = 123,291,289.24/12,097.37
  6. Step 6: Final answer
    x = 10,191.58

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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.