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Finding the Fourth Proportional to 6,097.60, 8,414.80 and 3,738.88

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Solution

The fourth proportional to 6,097.60, 8,414.80 and 3,738.88 is: 5,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.60 : 8,414.80 = 3,738.88 : x
  2. Step 2: Convert to fraction form
    6,097.60/8,414.80 = 3,738.88/x
  3. Step 3: Cross multiply
    6,097.60x = 8,414.80 × 3,738.88
  4. Step 4: Simplify right side
    6,097.60x = 31,461,927.42
  5. Step 5: Solve for x
    x = 31,461,927.42/6,097.60
  6. Step 6: Final answer
    x = 5,159.72

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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.