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Finding the Fourth Proportional to 6,596.70, 9,103.20 and 3,942.51

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Solution

The fourth proportional to 6,596.70, 9,103.20 and 3,942.51 is: 5,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.70 : 9,103.20 = 3,942.51 : x
  2. Step 2: Convert to fraction form
    6,596.70/9,103.20 = 3,942.51/x
  3. Step 3: Cross multiply
    6,596.70x = 9,103.20 × 3,942.51
  4. Step 4: Simplify right side
    6,596.70x = 35,889,457.03
  5. Step 5: Solve for x
    x = 35,889,457.03/6,596.70
  6. Step 6: Final answer
    x = 5,440.52

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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.