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Finding the Fourth Proportional to 11,305.50, 15,601.59 and 6,588.87

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Solution

The fourth proportional to 11,305.50, 15,601.59 and 6,588.87 is: 9,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.50 : 15,601.59 = 6,588.87 : x
  2. Step 2: Convert to fraction form
    11,305.50/15,601.59 = 6,588.87/x
  3. Step 3: Cross multiply
    11,305.50x = 15,601.59 × 6,588.87
  4. Step 4: Simplify right side
    11,305.50x = 102,796,848.30
  5. Step 5: Solve for x
    x = 102,796,848.30/11,305.50
  6. Step 6: Final answer
    x = 9,092.64

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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.