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Finding the Fourth Proportional to 19,775.92, 29,674.86 and 8,097.34

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Solution

The fourth proportional to 19,775.92, 29,674.86 and 8,097.34 is: 12,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.92 : 29,674.86 = 8,097.34 : x
  2. Step 2: Convert to fraction form
    19,775.92/29,674.86 = 8,097.34/x
  3. Step 3: Cross multiply
    19,775.92x = 29,674.86 × 8,097.34
  4. Step 4: Simplify right side
    19,775.92x = 240,287,430.87
  5. Step 5: Solve for x
    x = 240,287,430.87/19,775.92
  6. Step 6: Final answer
    x = 12,150.51

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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.