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Finding the Fourth Proportional to 7,096.28, 9,793.34 and 3,952.96

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Solution

The fourth proportional to 7,096.28, 9,793.34 and 3,952.96 is: 5,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.28 : 9,793.34 = 3,952.96 : x
  2. Step 2: Convert to fraction form
    7,096.28/9,793.34 = 3,952.96/x
  3. Step 3: Cross multiply
    7,096.28x = 9,793.34 × 3,952.96
  4. Step 4: Simplify right side
    7,096.28x = 38,712,681.29
  5. Step 5: Solve for x
    x = 38,712,681.29/7,096.28
  6. Step 6: Final answer
    x = 5,455.35

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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.