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Finding the Fourth Proportional to 7,081.51, 9,772.39 and 4,097.28

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Solution

The fourth proportional to 7,081.51, 9,772.39 and 4,097.28 is: 5,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.51 : 9,772.39 = 4,097.28 : x
  2. Step 2: Convert to fraction form
    7,081.51/9,772.39 = 4,097.28/x
  3. Step 3: Cross multiply
    7,081.51x = 9,772.39 × 4,097.28
  4. Step 4: Simplify right side
    7,081.51x = 40,040,218.10
  5. Step 5: Solve for x
    x = 40,040,218.10/7,081.51
  6. Step 6: Final answer
    x = 5,654.19

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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.