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Finding the Fourth Proportional to 7,049.31, 9,729 and 4,065.09

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Solution

The fourth proportional to 7,049.31, 9,729 and 4,065.09 is: 5,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.31 : 9,729 = 4,065.09 : x
  2. Step 2: Convert to fraction form
    7,049.31/9,729 = 4,065.09/x
  3. Step 3: Cross multiply
    7,049.31x = 9,729 × 4,065.09
  4. Step 4: Simplify right side
    7,049.31x = 39,549,260.61
  5. Step 5: Solve for x
    x = 39,549,260.61/7,049.31
  6. Step 6: Final answer
    x = 5,610.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.