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Finding the Fourth Proportional to 4,552.12, 6,827.06 and 1,264.44

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Solution

The fourth proportional to 4,552.12, 6,827.06 and 1,264.44 is: 1,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.12 : 6,827.06 = 1,264.44 : x
  2. Step 2: Convert to fraction form
    4,552.12/6,827.06 = 1,264.44/x
  3. Step 3: Cross multiply
    4,552.12x = 6,827.06 × 1,264.44
  4. Step 4: Simplify right side
    4,552.12x = 8,632,407.75
  5. Step 5: Solve for x
    x = 8,632,407.75/4,552.12
  6. Step 6: Final answer
    x = 1,896.35

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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.