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Finding the Fourth Proportional to 6,582.65, 9,089.96 and 6,123.38

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Solution

The fourth proportional to 6,582.65, 9,089.96 and 6,123.38 is: 8,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.65 : 9,089.96 = 6,123.38 : x
  2. Step 2: Convert to fraction form
    6,582.65/9,089.96 = 6,123.38/x
  3. Step 3: Cross multiply
    6,582.65x = 9,089.96 × 6,123.38
  4. Step 4: Simplify right side
    6,582.65x = 55,661,203.20
  5. Step 5: Solve for x
    x = 55,661,203.20/6,582.65
  6. Step 6: Final answer
    x = 8,455.75

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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.