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Finding the Fourth Proportional to 19,709.84, 29,569.68 and 5,858.84

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Solution

The fourth proportional to 19,709.84, 29,569.68 and 5,858.84 is: 8,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.84 : 29,569.68 = 5,858.84 : x
  2. Step 2: Convert to fraction form
    19,709.84/29,569.68 = 5,858.84/x
  3. Step 3: Cross multiply
    19,709.84x = 29,569.68 × 5,858.84
  4. Step 4: Simplify right side
    19,709.84x = 173,244,023.97
  5. Step 5: Solve for x
    x = 173,244,023.97/19,709.84
  6. Step 6: Final answer
    x = 8,789.72

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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.