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Finding the Fourth Proportional to 4,364.64, 6,023.24 and 2,375.24

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Solution

The fourth proportional to 4,364.64, 6,023.24 and 2,375.24 is: 3,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.64 : 6,023.24 = 2,375.24 : x
  2. Step 2: Convert to fraction form
    4,364.64/6,023.24 = 2,375.24/x
  3. Step 3: Cross multiply
    4,364.64x = 6,023.24 × 2,375.24
  4. Step 4: Simplify right side
    4,364.64x = 14,306,640.58
  5. Step 5: Solve for x
    x = 14,306,640.58/4,364.64
  6. Step 6: Final answer
    x = 3,277.85

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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.