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Finding the Fourth Proportional to 15,806.16, 23,712.71 and 5,945.44

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Solution

The fourth proportional to 15,806.16, 23,712.71 and 5,945.44 is: 8,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.16 : 23,712.71 = 5,945.44 : x
  2. Step 2: Convert to fraction form
    15,806.16/23,712.71 = 5,945.44/x
  3. Step 3: Cross multiply
    15,806.16x = 23,712.71 × 5,945.44
  4. Step 4: Simplify right side
    15,806.16x = 140,982,483.44
  5. Step 5: Solve for x
    x = 140,982,483.44/15,806.16
  6. Step 6: Final answer
    x = 8,919.46

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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.