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Finding the Fourth Proportional to 11,900.16, 17,772.10 and 9,563.72

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Solution

The fourth proportional to 11,900.16, 17,772.10 and 9,563.72 is: 14,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.16 : 17,772.10 = 9,563.72 : x
  2. Step 2: Convert to fraction form
    11,900.16/17,772.10 = 9,563.72/x
  3. Step 3: Cross multiply
    11,900.16x = 17,772.10 × 9,563.72
  4. Step 4: Simplify right side
    11,900.16x = 169,967,388.21
  5. Step 5: Solve for x
    x = 169,967,388.21/11,900.16
  6. Step 6: Final answer
    x = 14,282.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.