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Finding the Fourth Proportional to 8,010.92, 11,055.54 and 4,474.22

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Solution

The fourth proportional to 8,010.92, 11,055.54 and 4,474.22 is: 6,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.92 : 11,055.54 = 4,474.22 : x
  2. Step 2: Convert to fraction form
    8,010.92/11,055.54 = 4,474.22/x
  3. Step 3: Cross multiply
    8,010.92x = 11,055.54 × 4,474.22
  4. Step 4: Simplify right side
    8,010.92x = 49,464,918.18
  5. Step 5: Solve for x
    x = 49,464,918.18/8,010.92
  6. Step 6: Final answer
    x = 6,174.69

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Double scale
Find fourth proportional to 8,011.92, 11,056.92 and 4,475.22
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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.