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Finding the Fourth Proportional to 7,102.09, 10,653.12 and 3,201.94

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Solution

The fourth proportional to 7,102.09, 10,653.12 and 3,201.94 is: 4,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.09 : 10,653.12 = 3,201.94 : x
  2. Step 2: Convert to fraction form
    7,102.09/10,653.12 = 3,201.94/x
  3. Step 3: Cross multiply
    7,102.09x = 10,653.12 × 3,201.94
  4. Step 4: Simplify right side
    7,102.09x = 34,110,651.05
  5. Step 5: Solve for x
    x = 34,110,651.05/7,102.09
  6. Step 6: Final answer
    x = 4,802.90

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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.