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Finding the Fourth Proportional to 6,932.64, 10,392.96 and 2,547.84

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Solution

The fourth proportional to 6,932.64, 10,392.96 and 2,547.84 is: 3,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.64 : 10,392.96 = 2,547.84 : x
  2. Step 2: Convert to fraction form
    6,932.64/10,392.96 = 2,547.84/x
  3. Step 3: Cross multiply
    6,932.64x = 10,392.96 × 2,547.84
  4. Step 4: Simplify right side
    6,932.64x = 26,479,599.21
  5. Step 5: Solve for x
    x = 26,479,599.21/6,932.64
  6. Step 6: Final answer
    x = 3,819.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.