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Finding the Fourth Proportional to 7,080.75, 9,772.38 and 4,096.04

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Solution

The fourth proportional to 7,080.75, 9,772.38 and 4,096.04 is: 5,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.75 : 9,772.38 = 4,096.04 : x
  2. Step 2: Convert to fraction form
    7,080.75/9,772.38 = 4,096.04/x
  3. Step 3: Cross multiply
    7,080.75x = 9,772.38 × 4,096.04
  4. Step 4: Simplify right side
    7,080.75x = 40,028,010.51
  5. Step 5: Solve for x
    x = 40,028,010.51/7,080.75
  6. Step 6: Final answer
    x = 5,653.07

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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.