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Finding the Fourth Proportional to 6,507.43, 9,762.15 and 2,123.53

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Solution

The fourth proportional to 6,507.43, 9,762.15 and 2,123.53 is: 3,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.43 : 9,762.15 = 2,123.53 : x
  2. Step 2: Convert to fraction form
    6,507.43/9,762.15 = 2,123.53/x
  3. Step 3: Cross multiply
    6,507.43x = 9,762.15 × 2,123.53
  4. Step 4: Simplify right side
    6,507.43x = 20,730,218.39
  5. Step 5: Solve for x
    x = 20,730,218.39/6,507.43
  6. Step 6: Final answer
    x = 3,185.62

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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.