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Finding the Fourth Proportional to 7,096.84, 9,793.63 and 4,114.40

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Solution

The fourth proportional to 7,096.84, 9,793.63 and 4,114.40 is: 5,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.84 : 9,793.63 = 4,114.40 : x
  2. Step 2: Convert to fraction form
    7,096.84/9,793.63 = 4,114.40/x
  3. Step 3: Cross multiply
    7,096.84x = 9,793.63 × 4,114.40
  4. Step 4: Simplify right side
    7,096.84x = 40,294,911.27
  5. Step 5: Solve for x
    x = 40,294,911.27/7,096.84
  6. Step 6: Final answer
    x = 5,677.87

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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.