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Finding the Fourth Proportional to 6,553.99, 9,829.47 and 1,873.90

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Solution

The fourth proportional to 6,553.99, 9,829.47 and 1,873.90 is: 2,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.99 : 9,829.47 = 1,873.90 : x
  2. Step 2: Convert to fraction form
    6,553.99/9,829.47 = 1,873.90/x
  3. Step 3: Cross multiply
    6,553.99x = 9,829.47 × 1,873.90
  4. Step 4: Simplify right side
    6,553.99x = 18,419,443.83
  5. Step 5: Solve for x
    x = 18,419,443.83/6,553.99
  6. Step 6: Final answer
    x = 2,810.42

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1.5x scale

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.