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Finding the Fourth Proportional to 11,009.16, 16,499.14 and 9,541.44

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Solution

The fourth proportional to 11,009.16, 16,499.14 and 9,541.44 is: 14,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.16 : 16,499.14 = 9,541.44 : x
  2. Step 2: Convert to fraction form
    11,009.16/16,499.14 = 9,541.44/x
  3. Step 3: Cross multiply
    11,009.16x = 16,499.14 × 9,541.44
  4. Step 4: Simplify right side
    11,009.16x = 157,425,554.36
  5. Step 5: Solve for x
    x = 157,425,554.36/11,009.16
  6. Step 6: Final answer
    x = 14,299.51

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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.