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Finding the Fourth Proportional to 7,141.54, 9,855.42 and 3,998.74

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Solution

The fourth proportional to 7,141.54, 9,855.42 and 3,998.74 is: 5,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.54 : 9,855.42 = 3,998.74 : x
  2. Step 2: Convert to fraction form
    7,141.54/9,855.42 = 3,998.74/x
  3. Step 3: Cross multiply
    7,141.54x = 9,855.42 × 3,998.74
  4. Step 4: Simplify right side
    7,141.54x = 39,409,262.17
  5. Step 5: Solve for x
    x = 39,409,262.17/7,141.54
  6. Step 6: Final answer
    x = 5,518.31

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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.