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Finding the Fourth Proportional to 4,883.12, 6,738.72 and 2,894.64

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Solution

The fourth proportional to 4,883.12, 6,738.72 and 2,894.64 is: 3,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.12 : 6,738.72 = 2,894.64 : x
  2. Step 2: Convert to fraction form
    4,883.12/6,738.72 = 2,894.64/x
  3. Step 3: Cross multiply
    4,883.12x = 6,738.72 × 2,894.64
  4. Step 4: Simplify right side
    4,883.12x = 19,506,168.46
  5. Step 5: Solve for x
    x = 19,506,168.46/4,883.12
  6. Step 6: Final answer
    x = 3,994.61

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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.