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Finding the Fourth Proportional to 19,694.86, 29,533.65 and 7,211.65

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Solution

The fourth proportional to 19,694.86, 29,533.65 and 7,211.65 is: 10,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.86 : 29,533.65 = 7,211.65 : x
  2. Step 2: Convert to fraction form
    19,694.86/29,533.65 = 7,211.65/x
  3. Step 3: Cross multiply
    19,694.86x = 29,533.65 × 7,211.65
  4. Step 4: Simplify right side
    19,694.86x = 212,986,347.02
  5. Step 5: Solve for x
    x = 212,986,347.02/19,694.86
  6. Step 6: Final answer
    x = 10,814.31

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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.