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Finding the Fourth Proportional to 6,510.74, 9,743.90 and 4,137.62

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Solution

The fourth proportional to 6,510.74, 9,743.90 and 4,137.62 is: 6,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.74 : 9,743.90 = 4,137.62 : x
  2. Step 2: Convert to fraction form
    6,510.74/9,743.90 = 4,137.62/x
  3. Step 3: Cross multiply
    6,510.74x = 9,743.90 × 4,137.62
  4. Step 4: Simplify right side
    6,510.74x = 40,316,559.19
  5. Step 5: Solve for x
    x = 40,316,559.19/6,510.74
  6. Step 6: Final answer
    x = 6,192.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.