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Finding the Fourth Proportional to 6,306.16, 9,451.95 and 4,454.50

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Solution

The fourth proportional to 6,306.16, 9,451.95 and 4,454.50 is: 6,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.16 : 9,451.95 = 4,454.50 : x
  2. Step 2: Convert to fraction form
    6,306.16/9,451.95 = 4,454.50/x
  3. Step 3: Cross multiply
    6,306.16x = 9,451.95 × 4,454.50
  4. Step 4: Simplify right side
    6,306.16x = 42,103,711.28
  5. Step 5: Solve for x
    x = 42,103,711.28/6,306.16
  6. Step 6: Final answer
    x = 6,676.60

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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.