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Finding the Fourth Proportional to 7,097.22, 9,794.18 and 3,953.42

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Solution

The fourth proportional to 7,097.22, 9,794.18 and 3,953.42 is: 5,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.22 : 9,794.18 = 3,953.42 : x
  2. Step 2: Convert to fraction form
    7,097.22/9,794.18 = 3,953.42/x
  3. Step 3: Cross multiply
    7,097.22x = 9,794.18 × 3,953.42
  4. Step 4: Simplify right side
    7,097.22x = 38,720,438.36
  5. Step 5: Solve for x
    x = 38,720,438.36/7,097.22
  6. Step 6: Final answer
    x = 5,455.72

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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.