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Finding the Fourth Proportional to 6,126, 9,192.69 and 2,230.71

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Solution

The fourth proportional to 6,126, 9,192.69 and 2,230.71 is: 3,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126 : 9,192.69 = 2,230.71 : x
  2. Step 2: Convert to fraction form
    6,126/9,192.69 = 2,230.71/x
  3. Step 3: Cross multiply
    6,126x = 9,192.69 × 2,230.71
  4. Step 4: Simplify right side
    6,126x = 20,506,225.51
  5. Step 5: Solve for x
    x = 20,506,225.51/6,126
  6. Step 6: Final answer
    x = 3,347.41

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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.