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Finding the Fourth Proportional to 6,357.48, 9,539.61 and 4,786.68

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Solution

The fourth proportional to 6,357.48, 9,539.61 and 4,786.68 is: 7,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.48 : 9,539.61 = 4,786.68 : x
  2. Step 2: Convert to fraction form
    6,357.48/9,539.61 = 4,786.68/x
  3. Step 3: Cross multiply
    6,357.48x = 9,539.61 × 4,786.68
  4. Step 4: Simplify right side
    6,357.48x = 45,663,078.22
  5. Step 5: Solve for x
    x = 45,663,078.22/6,357.48
  6. Step 6: Final answer
    x = 7,182.58

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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.