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Finding the Fourth Proportional to 10,961.70, 16,406.10 and 10,961.70

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Solution

The fourth proportional to 10,961.70, 16,406.10 and 10,961.70 is: 16,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.70 : 16,406.10 = 10,961.70 : x
  2. Step 2: Convert to fraction form
    10,961.70/16,406.10 = 10,961.70/x
  3. Step 3: Cross multiply
    10,961.70x = 16,406.10 × 10,961.70
  4. Step 4: Simplify right side
    10,961.70x = 179,838,746.37
  5. Step 5: Solve for x
    x = 179,838,746.37/10,961.70
  6. Step 6: Final answer
    x = 16,406.10

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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.