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Finding the Fourth Proportional to 14,588.50, 20,132.14 and 7,964.50

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Solution

The fourth proportional to 14,588.50, 20,132.14 and 7,964.50 is: 10,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.50 : 20,132.14 = 7,964.50 : x
  2. Step 2: Convert to fraction form
    14,588.50/20,132.14 = 7,964.50/x
  3. Step 3: Cross multiply
    14,588.50x = 20,132.14 × 7,964.50
  4. Step 4: Simplify right side
    14,588.50x = 160,342,429.03
  5. Step 5: Solve for x
    x = 160,342,429.03/14,588.50
  6. Step 6: Final answer
    x = 10,991.02

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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.