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Finding the Fourth Proportional to 19,649.29, 29,471.01 and 7,166.38

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Solution

The fourth proportional to 19,649.29, 29,471.01 and 7,166.38 is: 10,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.29 : 29,471.01 = 7,166.38 : x
  2. Step 2: Convert to fraction form
    19,649.29/29,471.01 = 7,166.38/x
  3. Step 3: Cross multiply
    19,649.29x = 29,471.01 × 7,166.38
  4. Step 4: Simplify right side
    19,649.29x = 211,200,456.64
  5. Step 5: Solve for x
    x = 211,200,456.64/19,649.29
  6. Step 6: Final answer
    x = 10,748.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.