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Finding the Fourth Proportional to 6,476.52, 9,718.02 and 3,185.76

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Solution

The fourth proportional to 6,476.52, 9,718.02 and 3,185.76 is: 4,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.52 : 9,718.02 = 3,185.76 : x
  2. Step 2: Convert to fraction form
    6,476.52/9,718.02 = 3,185.76/x
  3. Step 3: Cross multiply
    6,476.52x = 9,718.02 × 3,185.76
  4. Step 4: Simplify right side
    6,476.52x = 30,959,279.40
  5. Step 5: Solve for x
    x = 30,959,279.40/6,476.52
  6. Step 6: Final answer
    x = 4,780.23

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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.