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Finding the Fourth Proportional to 14,596.48, 20,143.20 and 7,972.48

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Solution

The fourth proportional to 14,596.48, 20,143.20 and 7,972.48 is: 11,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.48 : 20,143.20 = 7,972.48 : x
  2. Step 2: Convert to fraction form
    14,596.48/20,143.20 = 7,972.48/x
  3. Step 3: Cross multiply
    14,596.48x = 20,143.20 × 7,972.48
  4. Step 4: Simplify right side
    14,596.48x = 160,591,259.14
  5. Step 5: Solve for x
    x = 160,591,259.14/14,596.48
  6. Step 6: Final answer
    x = 11,002.05

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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.