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Finding the Fourth Proportional to 8,095.20, 11,359.20 and 8,095.20

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Solution

The fourth proportional to 8,095.20, 11,359.20 and 8,095.20 is: 11,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.20 : 11,359.20 = 8,095.20 : x
  2. Step 2: Convert to fraction form
    8,095.20/11,359.20 = 8,095.20/x
  3. Step 3: Cross multiply
    8,095.20x = 11,359.20 × 8,095.20
  4. Step 4: Simplify right side
    8,095.20x = 91,954,995.84
  5. Step 5: Solve for x
    x = 91,954,995.84/8,095.20
  6. Step 6: Final answer
    x = 11,359.20

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.