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Finding the Fourth Proportional to 5,627.76, 7,764.84 and 4,511.04

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Solution

The fourth proportional to 5,627.76, 7,764.84 and 4,511.04 is: 6,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.76 : 7,764.84 = 4,511.04 : x
  2. Step 2: Convert to fraction form
    5,627.76/7,764.84 = 4,511.04/x
  3. Step 3: Cross multiply
    5,627.76x = 7,764.84 × 4,511.04
  4. Step 4: Simplify right side
    5,627.76x = 35,027,503.83
  5. Step 5: Solve for x
    x = 35,027,503.83/5,627.76
  6. Step 6: Final answer
    x = 6,224.06

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1.5x scale

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.