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Finding the Fourth Proportional to 8,234.52, 11,360.16 and 5,049.06

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Solution

The fourth proportional to 8,234.52, 11,360.16 and 5,049.06 is: 6,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.52 : 11,360.16 = 5,049.06 : x
  2. Step 2: Convert to fraction form
    8,234.52/11,360.16 = 5,049.06/x
  3. Step 3: Cross multiply
    8,234.52x = 11,360.16 × 5,049.06
  4. Step 4: Simplify right side
    8,234.52x = 57,358,129.45
  5. Step 5: Solve for x
    x = 57,358,129.45/8,234.52
  6. Step 6: Final answer
    x = 6,965.57

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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.