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Finding the Fourth Proportional to 6,307.68, 9,461.52 and 2,845.92

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Solution

The fourth proportional to 6,307.68, 9,461.52 and 2,845.92 is: 4,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.68 : 9,461.52 = 2,845.92 : x
  2. Step 2: Convert to fraction form
    6,307.68/9,461.52 = 2,845.92/x
  3. Step 3: Cross multiply
    6,307.68x = 9,461.52 × 2,845.92
  4. Step 4: Simplify right side
    6,307.68x = 26,926,729.00
  5. Step 5: Solve for x
    x = 26,926,729.00/6,307.68
  6. Step 6: Final answer
    x = 4,268.88

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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.