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Finding the Fourth Proportional to 7,080.51, 9,771.02 and 4,096.28

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Solution

The fourth proportional to 7,080.51, 9,771.02 and 4,096.28 is: 5,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.51 : 9,771.02 = 4,096.28 : x
  2. Step 2: Convert to fraction form
    7,080.51/9,771.02 = 4,096.28/x
  3. Step 3: Cross multiply
    7,080.51x = 9,771.02 × 4,096.28
  4. Step 4: Simplify right side
    7,080.51x = 40,024,764.47
  5. Step 5: Solve for x
    x = 40,024,764.47/7,080.51
  6. Step 6: Final answer
    x = 5,652.81

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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.