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Finding the Fourth Proportional to 7,196.50, 10,794.75 and 2,002.51

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Solution

The fourth proportional to 7,196.50, 10,794.75 and 2,002.51 is: 3,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.50 : 10,794.75 = 2,002.51 : x
  2. Step 2: Convert to fraction form
    7,196.50/10,794.75 = 2,002.51/x
  3. Step 3: Cross multiply
    7,196.50x = 10,794.75 × 2,002.51
  4. Step 4: Simplify right side
    7,196.50x = 21,616,594.82
  5. Step 5: Solve for x
    x = 21,616,594.82/7,196.50
  6. Step 6: Final answer
    x = 3,003.77

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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.