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Finding the Fourth Proportional to 6,696.71, 10,047.80 and 2,317.25

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Solution

The fourth proportional to 6,696.71, 10,047.80 and 2,317.25 is: 3,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.71 : 10,047.80 = 2,317.25 : x
  2. Step 2: Convert to fraction form
    6,696.71/10,047.80 = 2,317.25/x
  3. Step 3: Cross multiply
    6,696.71x = 10,047.80 × 2,317.25
  4. Step 4: Simplify right side
    6,696.71x = 23,283,264.55
  5. Step 5: Solve for x
    x = 23,283,264.55/6,696.71
  6. Step 6: Final answer
    x = 3,476.82

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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.