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Finding the Fourth Proportional to 6,152.47, 9,228.90 and 1,992.50

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Solution

The fourth proportional to 6,152.47, 9,228.90 and 1,992.50 is: 2,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.47 : 9,228.90 = 1,992.50 : x
  2. Step 2: Convert to fraction form
    6,152.47/9,228.90 = 1,992.50/x
  3. Step 3: Cross multiply
    6,152.47x = 9,228.90 × 1,992.50
  4. Step 4: Simplify right side
    6,152.47x = 18,388,579.19
  5. Step 5: Solve for x
    x = 18,388,579.19/6,152.47
  6. Step 6: Final answer
    x = 2,988.81

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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.