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Finding the Fourth Proportional to 6,498.81, 9,750.02 and 2,116.53

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Solution

The fourth proportional to 6,498.81, 9,750.02 and 2,116.53 is: 3,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.81 : 9,750.02 = 2,116.53 : x
  2. Step 2: Convert to fraction form
    6,498.81/9,750.02 = 2,116.53/x
  3. Step 3: Cross multiply
    6,498.81x = 9,750.02 × 2,116.53
  4. Step 4: Simplify right side
    6,498.81x = 20,636,199.25
  5. Step 5: Solve for x
    x = 20,636,199.25/6,498.81
  6. Step 6: Final answer
    x = 3,175.38

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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.