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Finding the Fourth Proportional to 11,301.45, 16,939.86 and 9,653.00

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Solution

The fourth proportional to 11,301.45, 16,939.86 and 9,653.00 is: 14,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.45 : 16,939.86 = 9,653.00 : x
  2. Step 2: Convert to fraction form
    11,301.45/16,939.86 = 9,653.00/x
  3. Step 3: Cross multiply
    11,301.45x = 16,939.86 × 9,653.00
  4. Step 4: Simplify right side
    11,301.45x = 163,520,383.88
  5. Step 5: Solve for x
    x = 163,520,383.88/11,301.45
  6. Step 6: Final answer
    x = 14,468.97

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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.