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Finding the Fourth Proportional to 15,809.21, 23,711.42 and 5,946.18

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Solution

The fourth proportional to 15,809.21, 23,711.42 and 5,946.18 is: 8,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.21 : 23,711.42 = 5,946.18 : x
  2. Step 2: Convert to fraction form
    15,809.21/23,711.42 = 5,946.18/x
  3. Step 3: Cross multiply
    15,809.21x = 23,711.42 × 5,946.18
  4. Step 4: Simplify right side
    15,809.21x = 140,992,341.64
  5. Step 5: Solve for x
    x = 140,992,341.64/15,809.21
  6. Step 6: Final answer
    x = 8,918.37

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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.