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Finding the Fourth Proportional to 10,576.88, 14,597.63 and 6,099.74

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Solution

The fourth proportional to 10,576.88, 14,597.63 and 6,099.74 is: 8,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.88 : 14,597.63 = 6,099.74 : x
  2. Step 2: Convert to fraction form
    10,576.88/14,597.63 = 6,099.74/x
  3. Step 3: Cross multiply
    10,576.88x = 14,597.63 × 6,099.74
  4. Step 4: Simplify right side
    10,576.88x = 89,041,747.62
  5. Step 5: Solve for x
    x = 89,041,747.62/10,576.88
  6. Step 6: Final answer
    x = 8,418.53

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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.