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Finding the Fourth Proportional to 10,576.91, 14,593.97 and 6,099.50

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Solution

The fourth proportional to 10,576.91, 14,593.97 and 6,099.50 is: 8,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.91 : 14,593.97 = 6,099.50 : x
  2. Step 2: Convert to fraction form
    10,576.91/14,593.97 = 6,099.50/x
  3. Step 3: Cross multiply
    10,576.91x = 14,593.97 × 6,099.50
  4. Step 4: Simplify right side
    10,576.91x = 89,015,971.75
  5. Step 5: Solve for x
    x = 89,015,971.75/10,576.91
  6. Step 6: Final answer
    x = 8,416.06

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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.