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Finding the Fourth Proportional to 6,496.27, 9,748.04 and 2,600.98

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Solution

The fourth proportional to 6,496.27, 9,748.04 and 2,600.98 is: 3,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.27 : 9,748.04 = 2,600.98 : x
  2. Step 2: Convert to fraction form
    6,496.27/9,748.04 = 2,600.98/x
  3. Step 3: Cross multiply
    6,496.27x = 9,748.04 × 2,600.98
  4. Step 4: Simplify right side
    6,496.27x = 25,354,457.08
  5. Step 5: Solve for x
    x = 25,354,457.08/6,496.27
  6. Step 6: Final answer
    x = 3,902.93

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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.