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Finding the Fourth Proportional to 6,282.18, 9,414.18 and 3,465

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Solution

The fourth proportional to 6,282.18, 9,414.18 and 3,465 is: 5,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.18 : 9,414.18 = 3,465 : x
  2. Step 2: Convert to fraction form
    6,282.18/9,414.18 = 3,465/x
  3. Step 3: Cross multiply
    6,282.18x = 9,414.18 × 3,465
  4. Step 4: Simplify right side
    6,282.18x = 32,620,133.70
  5. Step 5: Solve for x
    x = 32,620,133.70/6,282.18
  6. Step 6: Final answer
    x = 5,192.49

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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.