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Finding the Fourth Proportional to 19,585.26, 29,377.89 and 5,734.26

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Solution

The fourth proportional to 19,585.26, 29,377.89 and 5,734.26 is: 8,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.26 : 29,377.89 = 5,734.26 : x
  2. Step 2: Convert to fraction form
    19,585.26/29,377.89 = 5,734.26/x
  3. Step 3: Cross multiply
    19,585.26x = 29,377.89 × 5,734.26
  4. Step 4: Simplify right side
    19,585.26x = 168,460,459.51
  5. Step 5: Solve for x
    x = 168,460,459.51/19,585.26
  6. Step 6: Final answer
    x = 8,601.39

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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.