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Finding the Fourth Proportional to 11,743.50, 16,206.03 and 6,775.50

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Solution

The fourth proportional to 11,743.50, 16,206.03 and 6,775.50 is: 9,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.50 : 16,206.03 = 6,775.50 : x
  2. Step 2: Convert to fraction form
    11,743.50/16,206.03 = 6,775.50/x
  3. Step 3: Cross multiply
    11,743.50x = 16,206.03 × 6,775.50
  4. Step 4: Simplify right side
    11,743.50x = 109,803,956.27
  5. Step 5: Solve for x
    x = 109,803,956.27/11,743.50
  6. Step 6: Final answer
    x = 9,350.19

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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.