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Finding the Fourth Proportional to 10,576.01, 14,596.42 and 6,098.87

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Solution

The fourth proportional to 10,576.01, 14,596.42 and 6,098.87 is: 8,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.01 : 14,596.42 = 6,098.87 : x
  2. Step 2: Convert to fraction form
    10,576.01/14,596.42 = 6,098.87/x
  3. Step 3: Cross multiply
    10,576.01x = 14,596.42 × 6,098.87
  4. Step 4: Simplify right side
    10,576.01x = 89,021,646.80
  5. Step 5: Solve for x
    x = 89,021,646.80/10,576.01
  6. Step 6: Final answer
    x = 8,417.32

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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.