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Finding the Fourth Proportional to 6,176.46, 8,521.46 and 3,522

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Solution

The fourth proportional to 6,176.46, 8,521.46 and 3,522 is: 4,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.46 : 8,521.46 = 3,522 : x
  2. Step 2: Convert to fraction form
    6,176.46/8,521.46 = 3,522/x
  3. Step 3: Cross multiply
    6,176.46x = 8,521.46 × 3,522
  4. Step 4: Simplify right side
    6,176.46x = 30,012,582.12
  5. Step 5: Solve for x
    x = 30,012,582.12/6,176.46
  6. Step 6: Final answer
    x = 4,859.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.