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Finding the Fourth Proportional to 11,305, 16,961.06 and 5,070.25

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Solution

The fourth proportional to 11,305, 16,961.06 and 5,070.25 is: 7,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305 : 16,961.06 = 5,070.25 : x
  2. Step 2: Convert to fraction form
    11,305/16,961.06 = 5,070.25/x
  3. Step 3: Cross multiply
    11,305x = 16,961.06 × 5,070.25
  4. Step 4: Simplify right side
    11,305x = 85,996,814.47
  5. Step 5: Solve for x
    x = 85,996,814.47/11,305
  6. Step 6: Final answer
    x = 7,606.97

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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.