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Finding the Fourth Proportional to 6,553.80, 9,837.90 and 6,130.80

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Solution

The fourth proportional to 6,553.80, 9,837.90 and 6,130.80 is: 9,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.80 : 9,837.90 = 6,130.80 : x
  2. Step 2: Convert to fraction form
    6,553.80/9,837.90 = 6,130.80/x
  3. Step 3: Cross multiply
    6,553.80x = 9,837.90 × 6,130.80
  4. Step 4: Simplify right side
    6,553.80x = 60,314,197.32
  5. Step 5: Solve for x
    x = 60,314,197.32/6,553.80
  6. Step 6: Final answer
    x = 9,202.94

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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.