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Finding the Fourth Proportional to 20,095.29, 30,147.08 and 6,945.93

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Solution

The fourth proportional to 20,095.29, 30,147.08 and 6,945.93 is: 10,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.29 : 30,147.08 = 6,945.93 : x
  2. Step 2: Convert to fraction form
    20,095.29/30,147.08 = 6,945.93/x
  3. Step 3: Cross multiply
    20,095.29x = 30,147.08 × 6,945.93
  4. Step 4: Simplify right side
    20,095.29x = 209,399,472.65
  5. Step 5: Solve for x
    x = 209,399,472.65/20,095.29
  6. Step 6: Final answer
    x = 10,420.33

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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.