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Finding the Fourth Proportional to 5,464.74, 8,204.02 and 4,551.48

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Solution

The fourth proportional to 5,464.74, 8,204.02 and 4,551.48 is: 6,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.74 : 8,204.02 = 4,551.48 : x
  2. Step 2: Convert to fraction form
    5,464.74/8,204.02 = 4,551.48/x
  3. Step 3: Cross multiply
    5,464.74x = 8,204.02 × 4,551.48
  4. Step 4: Simplify right side
    5,464.74x = 37,340,432.95
  5. Step 5: Solve for x
    x = 37,340,432.95/5,464.74
  6. Step 6: Final answer
    x = 6,832.98

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1.5x scale

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.