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Finding the Fourth Proportional to 11,462.67, 15,812.66 and 7,486.11

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Solution

The fourth proportional to 11,462.67, 15,812.66 and 7,486.11 is: 10,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.67 : 15,812.66 = 7,486.11 : x
  2. Step 2: Convert to fraction form
    11,462.67/15,812.66 = 7,486.11/x
  3. Step 3: Cross multiply
    11,462.67x = 15,812.66 × 7,486.11
  4. Step 4: Simplify right side
    11,462.67x = 118,375,330.87
  5. Step 5: Solve for x
    x = 118,375,330.87/11,462.67
  6. Step 6: Final answer
    x = 10,327.03

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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.