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Finding the Fourth Proportional to 7,096.64, 9,791.04 and 4,301.12

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Solution

The fourth proportional to 7,096.64, 9,791.04 and 4,301.12 is: 5,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.64 : 9,791.04 = 4,301.12 : x
  2. Step 2: Convert to fraction form
    7,096.64/9,791.04 = 4,301.12/x
  3. Step 3: Cross multiply
    7,096.64x = 9,791.04 × 4,301.12
  4. Step 4: Simplify right side
    7,096.64x = 42,112,437.96
  5. Step 5: Solve for x
    x = 42,112,437.96/7,096.64
  6. Step 6: Final answer
    x = 5,934.14

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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.