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Finding the Fourth Proportional to 12,471.71, 17,211.00 and 7,166.19

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Solution

The fourth proportional to 12,471.71, 17,211.00 and 7,166.19 is: 9,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.71 : 17,211.00 = 7,166.19 : x
  2. Step 2: Convert to fraction form
    12,471.71/17,211.00 = 7,166.19/x
  3. Step 3: Cross multiply
    12,471.71x = 17,211.00 × 7,166.19
  4. Step 4: Simplify right side
    12,471.71x = 123,337,250.38
  5. Step 5: Solve for x
    x = 123,337,250.38/12,471.71
  6. Step 6: Final answer
    x = 9,889.37

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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.