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Finding the Fourth Proportional to 6,357.62, 9,536.43 and 1,740.62

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Solution

The fourth proportional to 6,357.62, 9,536.43 and 1,740.62 is: 2,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.62 : 9,536.43 = 1,740.62 : x
  2. Step 2: Convert to fraction form
    6,357.62/9,536.43 = 1,740.62/x
  3. Step 3: Cross multiply
    6,357.62x = 9,536.43 × 1,740.62
  4. Step 4: Simplify right side
    6,357.62x = 16,599,253.10
  5. Step 5: Solve for x
    x = 16,599,253.10/6,357.62
  6. Step 6: Final answer
    x = 2,610.92

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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.