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Finding the Fourth Proportional to 14,596.50, 20,143.25 and 7,972.50

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Solution

The fourth proportional to 14,596.50, 20,143.25 and 7,972.50 is: 11,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.50 : 20,143.25 = 7,972.50 : x
  2. Step 2: Convert to fraction form
    14,596.50/20,143.25 = 7,972.50/x
  3. Step 3: Cross multiply
    14,596.50x = 20,143.25 × 7,972.50
  4. Step 4: Simplify right side
    14,596.50x = 160,592,060.63
  5. Step 5: Solve for x
    x = 160,592,060.63/14,596.50
  6. Step 6: Final answer
    x = 11,002.09

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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.