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Finding the Fourth Proportional to 21,769.65, 32,656.50 and 7,728.30

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Solution

The fourth proportional to 21,769.65, 32,656.50 and 7,728.30 is: 11,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,769.65 : 32,656.50 = 7,728.30 : x
  2. Step 2: Convert to fraction form
    21,769.65/32,656.50 = 7,728.30/x
  3. Step 3: Cross multiply
    21,769.65x = 32,656.50 × 7,728.30
  4. Step 4: Simplify right side
    21,769.65x = 252,379,228.95
  5. Step 5: Solve for x
    x = 252,379,228.95/21,769.65
  6. Step 6: Final answer
    x = 11,593.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.