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Finding the Fourth Proportional to 11,709, 16,171.50 and 9,088.20

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Solution

The fourth proportional to 11,709, 16,171.50 and 9,088.20 is: 12,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709 : 16,171.50 = 9,088.20 : x
  2. Step 2: Convert to fraction form
    11,709/16,171.50 = 9,088.20/x
  3. Step 3: Cross multiply
    11,709x = 16,171.50 × 9,088.20
  4. Step 4: Simplify right side
    11,709x = 146,969,826.30
  5. Step 5: Solve for x
    x = 146,969,826.30/11,709
  6. Step 6: Final answer
    x = 12,551.87

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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.