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Finding the Fourth Proportional to 11,624.78, 16,024.02 and 9,509.06

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Solution

The fourth proportional to 11,624.78, 16,024.02 and 9,509.06 is: 13,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.78 : 16,024.02 = 9,509.06 : x
  2. Step 2: Convert to fraction form
    11,624.78/16,024.02 = 9,509.06/x
  3. Step 3: Cross multiply
    11,624.78x = 16,024.02 × 9,509.06
  4. Step 4: Simplify right side
    11,624.78x = 152,373,367.62
  5. Step 5: Solve for x
    x = 152,373,367.62/11,624.78
  6. Step 6: Final answer
    x = 13,107.63

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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.