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Finding the Fourth Proportional to 8,088.75, 11,162.88 and 4,945.14

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Solution

The fourth proportional to 8,088.75, 11,162.88 and 4,945.14 is: 6,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088.75 : 11,162.88 = 4,945.14 : x
  2. Step 2: Convert to fraction form
    8,088.75/11,162.88 = 4,945.14/x
  3. Step 3: Cross multiply
    8,088.75x = 11,162.88 × 4,945.14
  4. Step 4: Simplify right side
    8,088.75x = 55,202,004.40
  5. Step 5: Solve for x
    x = 55,202,004.40/8,088.75
  6. Step 6: Final answer
    x = 6,824.54

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Half scale
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Double scale
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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.