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Finding the Fourth Proportional to 19,711.65, 29,567.70 and 6,564

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Solution

The fourth proportional to 19,711.65, 29,567.70 and 6,564 is: 9,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.65 : 29,567.70 = 6,564 : x
  2. Step 2: Convert to fraction form
    19,711.65/29,567.70 = 6,564/x
  3. Step 3: Cross multiply
    19,711.65x = 29,567.70 × 6,564
  4. Step 4: Simplify right side
    19,711.65x = 194,082,382.80
  5. Step 5: Solve for x
    x = 194,082,382.80/19,711.65
  6. Step 6: Final answer
    x = 9,846.07

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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.