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Finding the Fourth Proportional to 6,333.88, 9,500.80 and 1,653.87

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Solution

The fourth proportional to 6,333.88, 9,500.80 and 1,653.87 is: 2,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.88 : 9,500.80 = 1,653.87 : x
  2. Step 2: Convert to fraction form
    6,333.88/9,500.80 = 1,653.87/x
  3. Step 3: Cross multiply
    6,333.88x = 9,500.80 × 1,653.87
  4. Step 4: Simplify right side
    6,333.88x = 15,713,088.10
  5. Step 5: Solve for x
    x = 15,713,088.10/6,333.88
  6. Step 6: Final answer
    x = 2,480.80

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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.