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Finding the Fourth Proportional to 7,096.71, 9,793.46 and 4,114.28

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Solution

The fourth proportional to 7,096.71, 9,793.46 and 4,114.28 is: 5,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.71 : 9,793.46 = 4,114.28 : x
  2. Step 2: Convert to fraction form
    7,096.71/9,793.46 = 4,114.28/x
  3. Step 3: Cross multiply
    7,096.71x = 9,793.46 × 4,114.28
  4. Step 4: Simplify right side
    7,096.71x = 40,292,967.07
  5. Step 5: Solve for x
    x = 40,292,967.07/7,096.71
  6. Step 6: Final answer
    x = 5,677.70

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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.