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Finding the Fourth Proportional to 6,541.99, 9,812.90 and 1,611.68

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Solution

The fourth proportional to 6,541.99, 9,812.90 and 1,611.68 is: 2,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.99 : 9,812.90 = 1,611.68 : x
  2. Step 2: Convert to fraction form
    6,541.99/9,812.90 = 1,611.68/x
  3. Step 3: Cross multiply
    6,541.99x = 9,812.90 × 1,611.68
  4. Step 4: Simplify right side
    6,541.99x = 15,815,209.64
  5. Step 5: Solve for x
    x = 15,815,209.64/6,541.99
  6. Step 6: Final answer
    x = 2,417.49

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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.