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Finding the Fourth Proportional to 8,362.56, 11,543.07 and 6,011.54

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Solution

The fourth proportional to 8,362.56, 11,543.07 and 6,011.54 is: 8,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.56 : 11,543.07 = 6,011.54 : x
  2. Step 2: Convert to fraction form
    8,362.56/11,543.07 = 6,011.54/x
  3. Step 3: Cross multiply
    8,362.56x = 11,543.07 × 6,011.54
  4. Step 4: Simplify right side
    8,362.56x = 69,391,627.03
  5. Step 5: Solve for x
    x = 69,391,627.03/8,362.56
  6. Step 6: Final answer
    x = 8,297.89

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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.