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Finding the Fourth Proportional to 6,882, 9,499.62 and 4,087.50

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Solution

The fourth proportional to 6,882, 9,499.62 and 4,087.50 is: 5,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882 : 9,499.62 = 4,087.50 : x
  2. Step 2: Convert to fraction form
    6,882/9,499.62 = 4,087.50/x
  3. Step 3: Cross multiply
    6,882x = 9,499.62 × 4,087.50
  4. Step 4: Simplify right side
    6,882x = 38,829,696.75
  5. Step 5: Solve for x
    x = 38,829,696.75/6,882
  6. Step 6: Final answer
    x = 5,642.21

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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.