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Finding the Fourth Proportional to 6,140.14, 9,212.02 and 2,855.20

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Solution

The fourth proportional to 6,140.14, 9,212.02 and 2,855.20 is: 4,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.14 : 9,212.02 = 2,855.20 : x
  2. Step 2: Convert to fraction form
    6,140.14/9,212.02 = 2,855.20/x
  3. Step 3: Cross multiply
    6,140.14x = 9,212.02 × 2,855.20
  4. Step 4: Simplify right side
    6,140.14x = 26,302,159.50
  5. Step 5: Solve for x
    x = 26,302,159.50/6,140.14
  6. Step 6: Final answer
    x = 4,283.64

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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.