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Finding the Fourth Proportional to 7,657.64, 10,568.52 and 4,672.84

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Solution

The fourth proportional to 7,657.64, 10,568.52 and 4,672.84 is: 6,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.64 : 10,568.52 = 4,672.84 : x
  2. Step 2: Convert to fraction form
    7,657.64/10,568.52 = 4,672.84/x
  3. Step 3: Cross multiply
    7,657.64x = 10,568.52 × 4,672.84
  4. Step 4: Simplify right side
    7,657.64x = 49,384,926.79
  5. Step 5: Solve for x
    x = 49,384,926.79/7,657.64
  6. Step 6: Final answer
    x = 6,449.11

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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.