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Finding the Fourth Proportional to 6,503.13, 9,739.94 and 4,644.09

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Solution

The fourth proportional to 6,503.13, 9,739.94 and 4,644.09 is: 6,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.13 : 9,739.94 = 4,644.09 : x
  2. Step 2: Convert to fraction form
    6,503.13/9,739.94 = 4,644.09/x
  3. Step 3: Cross multiply
    6,503.13x = 9,739.94 × 4,644.09
  4. Step 4: Simplify right side
    6,503.13x = 45,233,134.73
  5. Step 5: Solve for x
    x = 45,233,134.73/6,503.13
  6. Step 6: Final answer
    x = 6,955.59

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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.