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Finding the Fourth Proportional to 7,125.88, 9,833.72 and 3,982.06

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Solution

The fourth proportional to 7,125.88, 9,833.72 and 3,982.06 is: 5,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.88 : 9,833.72 = 3,982.06 : x
  2. Step 2: Convert to fraction form
    7,125.88/9,833.72 = 3,982.06/x
  3. Step 3: Cross multiply
    7,125.88x = 9,833.72 × 3,982.06
  4. Step 4: Simplify right side
    7,125.88x = 39,158,463.06
  5. Step 5: Solve for x
    x = 39,158,463.06/7,125.88
  6. Step 6: Final answer
    x = 5,495.25

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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.