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Finding the Fourth Proportional to 7,606.49, 11,396.03 and 7,149.02

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Solution

The fourth proportional to 7,606.49, 11,396.03 and 7,149.02 is: 10,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.49 : 11,396.03 = 7,149.02 : x
  2. Step 2: Convert to fraction form
    7,606.49/11,396.03 = 7,149.02/x
  3. Step 3: Cross multiply
    7,606.49x = 11,396.03 × 7,149.02
  4. Step 4: Simplify right side
    7,606.49x = 81,470,353.67
  5. Step 5: Solve for x
    x = 81,470,353.67/7,606.49
  6. Step 6: Final answer
    x = 10,710.64

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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.