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Finding the Fourth Proportional to 7,096.36, 9,794.46 and 4,263.86

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Solution

The fourth proportional to 7,096.36, 9,794.46 and 4,263.86 is: 5,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.36 : 9,794.46 = 4,263.86 : x
  2. Step 2: Convert to fraction form
    7,096.36/9,794.46 = 4,263.86/x
  3. Step 3: Cross multiply
    7,096.36x = 9,794.46 × 4,263.86
  4. Step 4: Simplify right side
    7,096.36x = 41,762,206.22
  5. Step 5: Solve for x
    x = 41,762,206.22/7,096.36
  6. Step 6: Final answer
    x = 5,885.02

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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.