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Finding the Fourth Proportional to 11,474.16, 17,236.04 and 9,722.80

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Solution

The fourth proportional to 11,474.16, 17,236.04 and 9,722.80 is: 14,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.16 : 17,236.04 = 9,722.80 : x
  2. Step 2: Convert to fraction form
    11,474.16/17,236.04 = 9,722.80/x
  3. Step 3: Cross multiply
    11,474.16x = 17,236.04 × 9,722.80
  4. Step 4: Simplify right side
    11,474.16x = 167,582,569.71
  5. Step 5: Solve for x
    x = 167,582,569.71/11,474.16
  6. Step 6: Final answer
    x = 14,605.21

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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.