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Finding the Fourth Proportional to 13,409.65, 20,107.98 and 7,864.81

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Solution

The fourth proportional to 13,409.65, 20,107.98 and 7,864.81 is: 11,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.65 : 20,107.98 = 7,864.81 : x
  2. Step 2: Convert to fraction form
    13,409.65/20,107.98 = 7,864.81/x
  3. Step 3: Cross multiply
    13,409.65x = 20,107.98 × 7,864.81
  4. Step 4: Simplify right side
    13,409.65x = 158,145,442.18
  5. Step 5: Solve for x
    x = 158,145,442.18/13,409.65
  6. Step 6: Final answer
    x = 11,793.41

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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.