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Finding the Fourth Proportional to 19,658.10, 29,475.78 and 6,506.94

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Solution

The fourth proportional to 19,658.10, 29,475.78 and 6,506.94 is: 9,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.10 : 29,475.78 = 6,506.94 : x
  2. Step 2: Convert to fraction form
    19,658.10/29,475.78 = 6,506.94/x
  3. Step 3: Cross multiply
    19,658.10x = 29,475.78 × 6,506.94
  4. Step 4: Simplify right side
    19,658.10x = 191,797,131.91
  5. Step 5: Solve for x
    x = 191,797,131.91/19,658.10
  6. Step 6: Final answer
    x = 9,756.65

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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.