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Finding the Fourth Proportional to 19,676.53, 29,506.96 and 7,193.71

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Solution

The fourth proportional to 19,676.53, 29,506.96 and 7,193.71 is: 10,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.53 : 29,506.96 = 7,193.71 : x
  2. Step 2: Convert to fraction form
    19,676.53/29,506.96 = 7,193.71/x
  3. Step 3: Cross multiply
    19,676.53x = 29,506.96 × 7,193.71
  4. Step 4: Simplify right side
    19,676.53x = 212,264,513.22
  5. Step 5: Solve for x
    x = 212,264,513.22/19,676.53
  6. Step 6: Final answer
    x = 10,787.70

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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.