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Finding the Fourth Proportional to 7,097.07, 9,793.95 and 3,953.25

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Solution

The fourth proportional to 7,097.07, 9,793.95 and 3,953.25 is: 5,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.07 : 9,793.95 = 3,953.25 : x
  2. Step 2: Convert to fraction form
    7,097.07/9,793.95 = 3,953.25/x
  3. Step 3: Cross multiply
    7,097.07x = 9,793.95 × 3,953.25
  4. Step 4: Simplify right side
    7,097.07x = 38,717,932.84
  5. Step 5: Solve for x
    x = 38,717,932.84/7,097.07
  6. Step 6: Final answer
    x = 5,455.48

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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.