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Finding the Fourth Proportional to 11,305.92, 15,601.92 and 6,590.64

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Solution

The fourth proportional to 11,305.92, 15,601.92 and 6,590.64 is: 9,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.92 : 15,601.92 = 6,590.64 : x
  2. Step 2: Convert to fraction form
    11,305.92/15,601.92 = 6,590.64/x
  3. Step 3: Cross multiply
    11,305.92x = 15,601.92 × 6,590.64
  4. Step 4: Simplify right side
    11,305.92x = 102,826,638.03
  5. Step 5: Solve for x
    x = 102,826,638.03/11,305.92
  6. Step 6: Final answer
    x = 9,094.94

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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.