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Finding the Fourth Proportional to 14,644.16, 20,208.78 and 7,929.60

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Solution

The fourth proportional to 14,644.16, 20,208.78 and 7,929.60 is: 10,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.16 : 20,208.78 = 7,929.60 : x
  2. Step 2: Convert to fraction form
    14,644.16/20,208.78 = 7,929.60/x
  3. Step 3: Cross multiply
    14,644.16x = 20,208.78 × 7,929.60
  4. Step 4: Simplify right side
    14,644.16x = 160,247,541.89
  5. Step 5: Solve for x
    x = 160,247,541.89/14,644.16
  6. Step 6: Final answer
    x = 10,942.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.