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Finding the Fourth Proportional to 4,735.84, 7,096.44 and 4,318.24

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Solution

The fourth proportional to 4,735.84, 7,096.44 and 4,318.24 is: 6,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.84 : 7,096.44 = 4,318.24 : x
  2. Step 2: Convert to fraction form
    4,735.84/7,096.44 = 4,318.24/x
  3. Step 3: Cross multiply
    4,735.84x = 7,096.44 × 4,318.24
  4. Step 4: Simplify right side
    4,735.84x = 30,644,131.07
  5. Step 5: Solve for x
    x = 30,644,131.07/4,735.84
  6. Step 6: Final answer
    x = 6,470.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.