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Finding the Fourth Proportional to 7,143.71, 9,858.34 and 4,161.59

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Solution

The fourth proportional to 7,143.71, 9,858.34 and 4,161.59 is: 5,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.71 : 9,858.34 = 4,161.59 : x
  2. Step 2: Convert to fraction form
    7,143.71/9,858.34 = 4,161.59/x
  3. Step 3: Cross multiply
    7,143.71x = 9,858.34 × 4,161.59
  4. Step 4: Simplify right side
    7,143.71x = 41,026,362.04
  5. Step 5: Solve for x
    x = 41,026,362.04/7,143.71
  6. Step 6: Final answer
    x = 5,743.01

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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.