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Finding the Fourth Proportional to 19,951.56, 29,933.82 and 9,564.12

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Solution

The fourth proportional to 19,951.56, 29,933.82 and 9,564.12 is: 14,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.56 : 29,933.82 = 9,564.12 : x
  2. Step 2: Convert to fraction form
    19,951.56/29,933.82 = 9,564.12/x
  3. Step 3: Cross multiply
    19,951.56x = 29,933.82 × 9,564.12
  4. Step 4: Simplify right side
    19,951.56x = 286,290,646.54
  5. Step 5: Solve for x
    x = 286,290,646.54/19,951.56
  6. Step 6: Final answer
    x = 14,349.29

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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.