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Finding the Fourth Proportional to 8,144.56, 11,239.50 and 4,607.70

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Solution

The fourth proportional to 8,144.56, 11,239.50 and 4,607.70 is: 6,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.56 : 11,239.50 = 4,607.70 : x
  2. Step 2: Convert to fraction form
    8,144.56/11,239.50 = 4,607.70/x
  3. Step 3: Cross multiply
    8,144.56x = 11,239.50 × 4,607.70
  4. Step 4: Simplify right side
    8,144.56x = 51,788,244.15
  5. Step 5: Solve for x
    x = 51,788,244.15/8,144.56
  6. Step 6: Final answer
    x = 6,358.63

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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.