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Finding the Fourth Proportional to 11,610.60, 16,022.98 and 6,305.76

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Solution

The fourth proportional to 11,610.60, 16,022.98 and 6,305.76 is: 8,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.60 : 16,022.98 = 6,305.76 : x
  2. Step 2: Convert to fraction form
    11,610.60/16,022.98 = 6,305.76/x
  3. Step 3: Cross multiply
    11,610.60x = 16,022.98 × 6,305.76
  4. Step 4: Simplify right side
    11,610.60x = 101,037,066.36
  5. Step 5: Solve for x
    x = 101,037,066.36/11,610.60
  6. Step 6: Final answer
    x = 8,702.14

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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.