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Finding the Fourth Proportional to 6,357.77, 9,537.51 and 2,354.62

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Solution

The fourth proportional to 6,357.77, 9,537.51 and 2,354.62 is: 3,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.77 : 9,537.51 = 2,354.62 : x
  2. Step 2: Convert to fraction form
    6,357.77/9,537.51 = 2,354.62/x
  3. Step 3: Cross multiply
    6,357.77x = 9,537.51 × 2,354.62
  4. Step 4: Simplify right side
    6,357.77x = 22,457,214.67
  5. Step 5: Solve for x
    x = 22,457,214.67/6,357.77
  6. Step 6: Final answer
    x = 3,532.24

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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.