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Finding the Fourth Proportional to 7,496.82, 11,223.09 and 7,176.06

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Solution

The fourth proportional to 7,496.82, 11,223.09 and 7,176.06 is: 10,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.82 : 11,223.09 = 7,176.06 : x
  2. Step 2: Convert to fraction form
    7,496.82/11,223.09 = 7,176.06/x
  3. Step 3: Cross multiply
    7,496.82x = 11,223.09 × 7,176.06
  4. Step 4: Simplify right side
    7,496.82x = 80,537,567.23
  5. Step 5: Solve for x
    x = 80,537,567.23/7,496.82
  6. Step 6: Final answer
    x = 10,742.90

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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.