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Finding the Fourth Proportional to 6,264.28, 8,630.76 and 4,136

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Solution

The fourth proportional to 6,264.28, 8,630.76 and 4,136 is: 5,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.28 : 8,630.76 = 4,136 : x
  2. Step 2: Convert to fraction form
    6,264.28/8,630.76 = 4,136/x
  3. Step 3: Cross multiply
    6,264.28x = 8,630.76 × 4,136
  4. Step 4: Simplify right side
    6,264.28x = 35,696,823.36
  5. Step 5: Solve for x
    x = 35,696,823.36/6,264.28
  6. Step 6: Final answer
    x = 5,698.47

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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.